Final Answer
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Rewrite the limit using the identity: $a^x=e^{x\ln\left(a\right)}$
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$\lim_{x\to0}\left(e^{x\ln\left(x\right)}\right)$
Learn how to solve equations with square roots problems step by step online. Find the limit of 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(x\right)}\right) by replacing all occurrences of x by 0. \ln(0) grows unbounded towards minus infinity. 0\cdot\infty is an indeterminate form.