Can you please answer the question below: Thanks. The image contains a mathematical expression representing a limit. The expression is formatted as follows:\[\lim_{{x \to -\infty}} \frac{{2x^4 + 5x + 1}}{{x^2 - 3x^4}}\]This is a calculus problem where you are tasked with finding the limit of the given rational function as $x$ approaches negative infinity. The function is a fraction where the numerator is $2x^4 + 5x + 1$ and the denominator is $x^2 - 3x^4$.### Key Points to Solve the Limit:1. **Identify the Degrees of the Polynomials:** - The highest degree term in the numerator is $2x^4$. - The highest degree term in the denominator is $-3x^4$.2. **Comparing Degrees:** - Since the degree of the numerator and the denominator is the same (both are 4), the limit largely depends on the coefficients of these terms.3. **Simplifying the Expression:** - Focus on the leading terms for simplicity: \[ \lim_{{x \to -\infty}} \frac{{2x^4}}{{-3x^4}} = \frac{2}{-3} = -\frac{2}{3} \]Therefore, the limit of the expression as $x$ approaches negative infinity is $-\frac{2}{3}$.

Answered: lim X118 2x² +5x+1 4 x² - 3x²

Math

Calculus

lim X118 2x² +5x+1 4 x² - 3x²

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: den Cosmetics and eärns $500 per week salary plus 4% commission on sales over $2,000. If Sandi sold…

Q: person has 10 coins consisting of dimes and quarters that make a total of $1.90. Find the number of…

A: A person has 10 coins consisting of dimes and quarters that make a total of $1.90. Find the number…

Q: Jesaki Express, a national package delivery service, charges a base price for overnight delivery of…

A: Given that,The service charges a base price for overnight delivery ofpackages weighing 1 pounds or…

Q: Wood & Wire recently played at the Historic Scoot Inn. The cost was $45. The band played from 8:30…

A: Number of songs band played =18 Total hours the band played =10-8:30=1.5 (Since 60 Mins = 1 hour so…

Q: There are four ladies in a birthday club. Three have birthdays. One lady bought $900.00 in gift…

Q: In the figure below, we see that traditional one-person-one-vote (1plv) majority voting results in…

A: A simple bar diagram is one dimensional diagram that is used to represent the data rectangular bars…

Q: In 2014, the median household income in Durham-Chapel Hill, NC was $50,504. If the median household…

Q: he doctor has finally figured out what is wrong with you and prescribes a medicine that will help…

A: here the bottle has 100 mg per 15 ml

Q: Last year's freshman class at Big State University totaled 5,348 students. Of those, 1,263 received…

A: In question, We have given that amount that received student is followed N(3441, 485) And the amount…

Q: A study found that the average home price for 14 houses in one community was $285,000. Two more…

Q: You have a lovely night at your favorite restaurant and ordered the following Items: 1 Chips and…

A: Given

Q: Which had the greater tuition increase?

A: The tuition at Princeton University increased by $3,420.Tuition at Columbus State Community College…

Q: student beginning her senior year has accumulated 90 credits and has a C-minus cumulative grade…

Q: You bought a bag of starburst candies. There were 25 strawberry candies, 40 lemon candies, 25 lime…

A: Number of strawberry candies is 25. Number of lemon candies is 40. Number of lime candies is 25.…

Q: Over the period of a month, you trap and tag 15 deer in a forest, and mark them with tags. You set…

A: From the stated information, it is interpreted that: Initially tagged no. of deer = 15. No. of…

Q: Last year's freshman class at Big State University totaled 5,348 students. Of those, 1,263 received…

Q: You want to find out the top three food items sold in your school cafeteria. Select the best way to…

Q: Last year's freshman class at Big State University totaled 5,320 students. Of those, 1,262 received…

A: Given: Meanμ=3450Standard Deviationσ=480

Q: According to a certain central bank from 2000 to 2016 the average price of a new home in a certain…

A: Given that Present Price = $ 402000Increased rate = 53%=53100=0.53

Q: Alexa's parents are looking to put new carpet in their living room. They have received several…

A: several different price quotes: $850,$625,$710,and $599

Q: If Meg got a C in her two-unit PE class, an A in her three-unit Statistics class and a B in her…

A: From the provided information, the followings are interpreted: Subject No. of units Grade PE 2…

Q: An online university wants to invest in a new tutoring program. Before they make the commitment, the…

A: Given, An online university wants to invest in a new tutoring program. Before they make the…

Q: median annual income for someone who has an Associates Degree is $31,936. The median annual income…

A: Given that Median annual income for an Associate Degree holder = $31,936 Median annual income for a…

Question

Can you please answer the question below: Thanks.

The image contains a mathematical expression representing a limit. The expression is formatted as follows:

\[
\lim_{{x \to -\infty}} \frac{{2x^4 + 5x + 1}}{{x^2 - 3x^4}}
\]

This is a calculus problem where you are tasked with finding the limit of the given rational function as $x$ approaches negative infinity. The function is a fraction where the numerator is $2x^4 + 5x + 1$ and the denominator is $x^2 - 3x^4$.

### Key Points to Solve the Limit:
1. **Identify the Degrees of the Polynomials:**
- The highest degree term in the numerator is $2x^4$.
- The highest degree term in the denominator is $-3x^4$.

2. **Comparing Degrees:**
- Since the degree of the numerator and the denominator is the same (both are 4), the limit largely depends on the coefficients of these terms.

3. **Simplifying the Expression:**
- Focus on the leading terms for simplicity:
\[
\lim_{{x \to -\infty}} \frac{{2x^4}}{{-3x^4}} = \frac{2}{-3} = -\frac{2}{3}
\]

Therefore, the limit of the expression as $x$ approaches negative infinity is $-\frac{2}{3}$.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: given data

VIEW

Step 2: simplification

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

To earn an A in a course, a boy must have a final average of at least 84%. On the first four examinations, he has grades of 81%, 87%, 77%, and 77%. If the final examination counts as two grades, what must he get on the final to earn an A in the course? Select the correct choice below and fill in the answer box to complete your choice. O A. To earn an A in the course, the boy must have at least % on the remaining final examination. O B. To earn an A in the course, the boy must have at most % on the remaining final examination. O C. To earn an A in the course, the boy must have less than % on the remaining final examination. D. To earn an A in the course, the boy must have greater than % on the remaining final examination.
You erased half of the songs on your phone and then downloaded eighteen more. You now have one hundred fifteen songs.how many did u begin with?
The website is offering a discount of $7.50 on all Bolga basket orders. Which expression can you use to find the total price of a basket order?
Suppose that the local sales tax rate is 6% and you purchase a car for $23,300. a. How much tax is paid? b. What is the car's total cost? a. The amount of tax paid is $ b. The total cost is $
Javier surveyed 60 students about their favourite subjects in school. Here are the results. Favourite Subject Number of Students Mathematics 22 Science 16 Neither mathematics nor science 25 Determine how many students like only mathematics OR only science. Answer:
Last year's freshman class a big state university total of 5304 students. Of those 1257 receives a merit scholarship to help offset tuition cost their freshman year (although the amount vary per student). The amount a student received was N($3,443, $450). If the cost for tuition was $4050 last year what percentage of students who received a merit scholarship did not receive enough to cover for tuition? (Round your answer to the nearest whole percent).
Which of the following choices is the best price? a. $4.95 for 30 b. $1.95 for a dozen. c. $2.95 for 18
see attached
A Math competition had 120 winners. 75% of them win either bronze or gold medals. 60% of them win either gold or silver medals. Find the difference between the number of winners who win gold medals and the number of winners who win bronze medals.
You are going to a party with a friend. Both of you are supposed to take packets of chips and bottles of soft drink for the party. You shop together and buy the same brand of chips & drink. You spend $40 to buy 5 packets of chips and 10 bottles of soft drink. Your friend spends $51 to buy 3 packets of chips and 15 bottles of soft drink. Given this information determine the following: How much does the shop charge for a packet of chips? Please calculate this answer in dollars (enter the unit "$" with the answer) and round the final value to the nearest cent. Answer: How much does the shop charge for a bottle of soft drink? Please calculate this answer in dollars (enter the unit "$" with the answer) and round the final value to the nearest cent. Answer: