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Rewrite the limit using the identity: $a^x=e^{x\ln\left(a\right)}$
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$\lim_{x\to{1^{+}}}\left(e^{\left(x-1\right)\ln\left(x-1\right)}\right)$
Learn how to solve limits problems step by step online. Find the limit of (x-1)^(x-1) as x approaches 1 from the right. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Evaluate the limit \lim_{x\to{1^{+}}}\left(e^{\left(x-1\right)\ln\left(x-1\right)}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. Subtract the values 1 and -1.