Use the graph of g to find the value of each expression. (If an answer does not exist, enter DNE.) 4 -2 -2 (a) lim g(x) -1 (b) lim g(x) (c) lim *-0 9(x) (d) lim g(x) X- 2 (e) lim, g(x) X-2* (f) lim, g(x) (9) g(2) (h) lim g(x) X-4

Q: lim 4e-4x

A: Using limit property we have

Q: g(x + h) – g(x) g(x) = -x² – x + 9 Given the function find the difference quotient h

A:

Q: Find the equation of the following function. Make sure to show your work. (Hint: try using a point…

A: Equation of the given function is in two parts. They are as given below: -∞<x≤-1 and -1≤x<∞

Q: For the function, find a domain on which the function is one-to-one and non-decreasing, then find an…

A:

Q: lim cc-2 x²-3x - 10 x+2

A: Explaination of the answer is as follows

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.