Provide an appropriate response.
-$$\text { Let } \lim _ { x \rightarrow 10 } f ( x ) = 4 \text {. Find } \lim _ { x \rightarrow 10 } ( - 5 ) ^ { f ( x ) }$$
A) 9,765,625
B) -5
C) 4
D) 625

Question

Quizplus · Accepted Answer

We know that $\lim_{x\rightarrow 10}f(x)=4$. Using this value and applying the properties of limits, we can rewrite the given limit as $\lim_{x\rightarrow 10}(-5)^4=625$. Therefore, the answer is D.

Provide an Appropriate Response Let lim⁡x→10f(x)=4. Find lim⁡x→10(−5)f(x)\text { Let } \lim _ { x \rightarrow 10 } f ( x ) = 4 \text {. Find } \lim _ { x \rightarrow 10 } ( - 5 ) ^ { f ( x ) } Let x→10lim​f(x)=4. Find x→10lim​(−5)f(x)

Provide an Appropriate Response $\text { Let } \lim _ { x \rightarrow 10 } f ( x ) = 4 \text {. Find } \lim _ { x \rightarrow 10 } ( - 5 ) ^ { f ( x ) }$