Question

Which table identifies the one-sided and two-sided limits of function f at x=2?

Answer 1

3rd one (C)

Explanation:

approaching from left side: 4

approaching from right side: 1

approaching 2: nonexistent because it is a jump discontinuity

Answer 2

The third table

EXPLANATION

From the graph the left hand limit is

`lim_{x \to{2}^( - ) }(f(x)) = 4`

The right hand limit is

`lim_{x \to{2}^( + ) }(f(x)) = 2`

Since the left hand limit is not equal to the right hand limit, the limit as x approaches to 2 does not exist.

`lim_{x \to{2}}(f(x)) = non \: existent`