The value of $\underset{x→1}{\lim}(\log_55x)^{\log_x5}$ is:
Answer & explanation
Correct answer: option 2
$\underset{x→1}{\lim}(\log_55x)^{\log_x5}=\underset{x→1}{\lim}(1+\log_5x)^{\frac{1}{\log_x5}}=e$
The value of $\underset{x→1}{\lim}(\log_55x)^{\log_x5}$ is:
Correct answer: option 2
$\underset{x→1}{\lim}(\log_55x)^{\log_x5}=\underset{x→1}{\lim}(1+\log_5x)^{\frac{1}{\log_x5}}=e$