What are limx→+-∞ k (k a constant) and limx→+-∞ (1/x)? How doyou extend these results to other functions? Give examples.

Q: I need help with the rules for finding the difference quotient. for example. f(x)= 1/x^2

A: To evaluate the difference quotient for the given function

Q: Consider the following.   f(x) = (x^3+3x^2+x-8)/x   Rewrite the function by dividing each term of…

A: Given,

Q: says "determine wheather the point lies on the graph of a function"…

A: We have to check whether the point lies or not

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

A:

Q: Find the zero(s) (if any) of the function - y=x^2-1x-12 The zero(s) is/are x=

A: To find the zeroes of the given function

Q: 5. Simplify the difference quotient f(a+h)-f(a) for the function f(x)%3D 3x+4 Use %3D h correct…

A:

Q: 1olvsrled bne 7. Find the difference quotient f(x+h}-f(x) for the function f(x) = x2 - 1. h

A: For the solution follow the next step.

Q: ƒ (x) = − ½-|x| − 14x^8 +7   is this a function if so how and why

A:

Q: What does the 5 represent in the function f(x)=5(2)^x?

A: Explanation of the answer is as follows

Q: Consider the following function: f(x)=x^3+2x^2-8x-3 b. Find the extreme values ​​of f.

A:

Q: -2 -1 0 1 3 5 6

A:

Q: Describe the transformation needed to transformation the parents reciprocal function f(x)=1/x into…

A: In the question we have to describe the transformation needed to transformation the parents…

Q: where is the function (5+x) / (x(x-2)) discontinuous?

A:

Q: Calculate the value of n if f(x) = (8 - x)*/3 and 16" = f(16).

A:

Q: Differentiate the function   f(x) =    5  - 1 /x

A:

Q: Give a thorough analysis of the function f(x) = x^3 / (1+x)^2 , and sketch an accurate graph of the…

A:

Q: Evaluate f(x)=7x^2−6x+1 at the indicated value f(a+4)=______

A:

Q: Explain what happens to the base function that went from  a(x)=x2 to f(x)=(x+3)^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

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.