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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.
$\lim_{x\to0}\left(e^{x\ln\left(\sin\left(x\right)\right)}\right)$
Learn how to solve limits of exponential functions problems step by step online. Find the limit of sin(x)^x as x approaches 0. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Evaluate the limit \lim_{x\to0}\left(e^{x\ln\left(\sin\left(x\right)\right)}\right) by replacing all occurrences of x by 0. The sine of 0 equals . \ln(0) grows unbounded towards minus infinity.