If $\lim _ { x \rightarrow 2 ^ { + } } f ( x ) = 7.9$, then if $\lim _ { x \rightarrow 2 } f ( x )$ exists, to what value does it converge?
Select the correct answer.
A) $6.9$
B) $8.9$
C) $9.9$
D) $7.9$
E) $5.9$

Question

Quizplus · Accepted Answer

Since the right-hand limit exists and is equal to 7.9, the only way for the overall limit to not exist is if the left-hand limit approaches a different value. However, this cannot happen because the left-hand and right-hand limits must be equal for the overall limit to exist. Therefore, the limit as x approaches 2 must be 7.9.

If lim⁡x→2+f(x)=7.9\lim _ { x \rightarrow 2 ^ { + } } f ( x ) = 7.9limx→2+​f(x)=7.9

If $\lim _ { x \rightarrow 2 ^ { + } } f ( x ) = 7.9$