Question

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

Answer 1

ANSWER

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.

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

Answer 2

Answer:

3rd one (C)

Step-by-step explanation:

approaching from left side: 4

approaching from right side: 1

approaching 2: nonexistent because it is a jump discontinuity