$\text { Suppose that } \lim _ { x \rightarrow c } f ( x ) = 5 \text {. Find the following limit. }$ $\lim _ { x \rightarrow c } \left[ f ( x ) ^ { 3 } \right]$
A) 2
B) 125
C) 8
D) 0
E) 15

Question

Quizplus · Accepted Answer

We can use the property that states $\lim_{x	o c} [f(x)]^n=[\lim_{x	o c} f(x)]^n$ for any positive integer $n$. Applying this to our problem gives $\lim_{x	o c} [f(x)]^3 = [ \lim_{x	o c} f(x)]^3 = 5^3 = 125$. Therefore, the answer is B.

Suppose that lim⁡x→cf(x)=5. Find the following limit. \text { Suppose that } \lim _ { x \rightarrow c } f ( x ) = 5 \text {. Find the following limit. } Suppose that limx→c​f(x)=5. Find the following limit.

$\text { Suppose that } \lim _ { x \rightarrow c } f ( x ) = 5 \text {. Find the following limit. }$