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Take $\frac{\pi }{2}$ out of the fraction
Learn how to solve limits of exponential functions problems step by step online.
$\lim_{x\to1}\left(\left(1-x\right)^{\cos\left(\frac{\pi}{2}x\right)}\right)$
Learn how to solve limits of exponential functions problems step by step online. Find the limit of (1-x)^cos((pix)/2) as x approaches 1. Take \frac{\pi }{2} out of the fraction. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Evaluate the limit \lim_{x\to1}\left(e^{\cos\left(\frac{\pi}{2}x\right)\ln\left(1-x\right)}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1.