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Rewrite the limit using the identity: $a^x=e^{x\ln\left(a\right)}$
Learn how to solve limits of exponential functions problems step by step online.
$\lim_{x\to1}\left(e^{\frac{1}{x-1}\ln\left(\frac{x+1}{3x-1}\right)}\right)$
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. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Multiplying the fraction by \ln\left(\frac{x+1}{3x-1}\right). 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)}}. The limit of a constant is just the constant.