Provide an appropriate response.
-$$\text { Let } \lim _ { x \rightarrow 10 } f ( x ) = 1024 \text {. Find } \lim _ { x \rightarrow 10 } \sqrt [ 5 ] { f ( x ) }$$
A) 5
B) 1024
C) 4
D) 10

Question

Quizplus · Accepted Answer

The limit of a function as $x$ approaches a value is the value the function approaches as $x$ gets closer to that value. Given $\lim _ { x \rightarrow 10 } f ( x ) = 1024$, when we apply the fifth root to both sides, we get $\lim _ { x \rightarrow 10 } \sqrt [ 5 ] { f ( x ) } = \sqrt [ 5 ] { 1024 } = 4$.

Provide an Appropriate Response Let lim⁡x→10f(x)=1024. Find lim⁡x→10f(x)5\text { Let } \lim _ { x \rightarrow 10 } f ( x ) = 1024 \text {. Find } \lim _ { x \rightarrow 10 } \sqrt [ 5 ] { f ( x ) } Let x→10lim​f(x)=1024. Find x→10lim​5f(x)​

Provide an Appropriate Response $\text { Let } \lim _ { x \rightarrow 10 } f ( x ) = 1024 \text {. Find } \lim _ { x \rightarrow 10 } \sqrt [ 5 ] { f ( x ) }$