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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 limits of exponential functions problems step by step online.
${\left(\lim_{x\to1}\left(\frac{x+1}{3x-1}\right)\right)}^{\lim_{x\to1}\left(\frac{1}{x-1}\right)}$
Learn how to solve limits of exponential functions problems step by step online. Find the limit of ((x+1)/(3x-1))^(1/(x-1)) 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}{x-1}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. An expression divided by zero tends to infinity.