Final Answer
Step-by-step Solution
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We could not solve this problem by using the method: Limits by Factoring
Rewrite the limit using the identity: $a^x=e^{x\ln\left(a\right)}$
Learn how to solve one-variable linear inequalities problems step by step online.
$\lim_{x\to0}\left(e^{\sin\left(x\right)\ln\left(x\right)}\right)$
Learn how to solve one-variable linear inequalities problems step by step online. Find the limit of x^sin(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^{\sin\left(x\right)\ln\left(x\right)}\right) by replacing all occurrences of x by 0. \ln(0) grows unbounded towards minus infinity. Apply the formula: n^{- \infty }=0, where n=e.