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Rewrite the limit using the identity: $a^x=e^{x\ln\left(a\right)}$
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$\lim_{x\to2}\left(e^{\sin\left(x-2\right)\ln\left(x-2\right)}\right)$
Learn how to solve limits of exponential functions problems step by step online. Find the limit of (x-2)^sin(x-2) as x approaches 2. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Evaluate the limit \lim_{x\to2}\left(e^{\sin\left(x-2\right)\ln\left(x-2\right)}\right) by replacing all occurrences of x by 2. Subtract the values 2 and -2. Subtract the values 2 and -2.