Question

For which value of c does the limit of f(x) as x approaches c not exist?

A) -4

B) -2

C) 2

D) 4

Answer 1

Without a specific function provided, we can't determine for which value of c the limit does not exist. We look for discontinuity, asymptotes, or different left and right-hand limits at c to conclude if the limit does not exist there.

Step-by-step explanation:

To determine for which value of c the limit of f(x) as x approaches c does not exist, we need to look at the behavior of the function f(x) near each given value of c. Without the specific function f(x), we cannot conclusively determine the answer; however, generally, the limit of a function as x approaches c does not exist if the function has a discontinuity, an asymptote, or the left-hand limit and right-hand limit at c do not match.

To solve such a question, you would typically:

1. Investigate the continuity of f(x) at each value of c.
2. Check if there are any vertical asymptotes at those values of c.
3. Examine if there is a point where the function behaves differently from the left side to the right side.

If f(x) exhibits any of these traits at a particular value of c, that is the value where the limit does not exist.