Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the limit. Be sure to address these conditions in your explanation. Enter an exact numeric answer. In(x) lim Number x→1 #8–1 Please explain, in your own words and in a few sentences, how you arrived at your answers. Answers with no relevant explanations may receive reduced or no credit.

Q: Please solve by factoring

A:

Q: Solve the following by definition only: lim (4x - 5) = 7 as x approaches 3.

A:

Q: Explain what each of the following means and illustrate with a sketch. A. lim g(x) = M xa B. lim…

A:

Q: 72. Use a graphing calculator to answer the following questions. a. From a graph of y = xe", what do…

A:

Q: Find each limit, if it exists. (a) Ilm (b) lim (c) Ilm +8

A:

Q: 3. Based on Question 4 from the project, evaluate the following limits algebraically. Write the…

A:

Q: Find the limit. m (5x³-3x+2)

A:

Q: lim √3x²+6 5- 2x

A:

Q: Evaluate the following limits (a) limx→+4-4 t-9 (b) limn→9 √√t-3 x²-16 √x+4-1 (c) limx→-3 x+3

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.