Final Answer
$1$
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Step-by-step Solution
Problem to solve:
$\lim_{x\to1}\left(\tan\left(\frac{\pi x}{4}\right)^{\tan\left(\frac{\pi x}{2}\right)}\right)$
Specify the solving method
1
Take $\frac{\pi }{4}$ out of the fraction
$\lim_{x\to1}\left(\tan\left(\frac{\pi}{4}x\right)^{\tan\left(\frac{\pi x}{2}\right)}\right)$
Learn how to solve limits of exponential functions problems step by step online.
$\lim_{x\to1}\left(\tan\left(\frac{\pi}{4}x\right)^{\tan\left(\frac{\pi x}{2}\right)}\right)$
Learn how to solve limits of exponential functions problems step by step online. Find the limit (x)->(1)lim(tan((pix)/4)^tan((pix)/2)). Take \frac{\pi }{4} out of the fraction. Take \frac{\pi }{2} out of the fraction. Evaluate the limit \lim_{x\to1}\left(\tan\left(\frac{\pi}{4}x\right)^{\tan\left(\frac{\pi}{2}x\right)}\right) by replacing all occurrences of x by 1. Simplifying, we get.
Final Answer
$1$