Final answer to the problem
Step-by-step Solution
Specify the solving method
Apply the power rule of limits: $\displaystyle{\lim_{x\to a}f(x)^{g(x)} = \lim_{x\to a}f(x)^{\displaystyle\lim_{x\to a}g(x)}}$
Learn how to solve definite integrals problems step by step online.
${\left(\lim_{x\to1}\left(x\right)\right)}^{\lim_{x\to1}\left(\frac{1}{1-x}\right)}$
Learn how to solve definite integrals problems step by step online. Find the limit of x^(1/(1-x)) as x approaches 1. Apply the power rule of limits: \displaystyle{\lim_{x\to a}f(x)^{g(x)} = \lim_{x\to a}f(x)^{\displaystyle\lim_{x\to a}g(x)}}. Evaluate the limit \lim_{x\to1}\left(\frac{1}{1-x}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. An expression divided by zero tends to infinity.