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