Question

Evaluate the limit below, given that \[ \lim _{t \rightarrow+\infty} f(t)=\square \quad f(t)=\left(\frac{4^{t}+7^{t}}{4}\right)^{1 / t} \text { for } t \neq 0 . \]

          Evaluate the limit below, given that
\[
\lim _{t \rightarrow+\infty} f(t)=\square \quad f(t)=\left(\frac{4^{t}+7^{t}}{4}\right)^{1 / t} \text { for } t \neq 0 .
\]

Evaluate the limit below, given that

limt →+∞ f(t)=□ f(t)=((4^t+7^t)/(4))^1 / t for t ≠ 0 .

Added by Caitlyn T.

Calculus Single Variable

Deborah Hughes-Hallett, Andrew M.… 7th Edition

Chapter 4

Instant Answer

Solved by Expert Sanchit Jain

10/23/2024

Step 1

Step 1: Consider the function \( f(t) = \left( \frac{4^t + 7^t}{4} \right)^{1/t} \). Show more…

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Evaluate the limit below, given that \[ \lim _{t \rightarrow+\infty} f(t)=\square \quad f(t)=\left(\frac{4^{t}+7^{t}}{4}\right)^{1 / t} \text { for } t \neq 0 . \]