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Rewrite the limit using the identity: $a^x=e^{x\ln\left(a\right)}$
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$\lim_{x\to4}\left(e^{\left(x-4\right)\ln\left(3\left(x-4\right)\right)}\right)$
Learn how to solve integral calculus problems step by step online. Find the limit of (3(x-4))^(x-4) as x approaches 4. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Evaluate the limit \lim_{x\to4}\left(e^{\left(x-4\right)\ln\left(3\left(x-4\right)\right)}\right) by replacing all occurrences of x by 4. Subtract the values 4 and -4. Subtract the values 4 and -4.