Exercise
$\lim_{x\to1}\left(x-1\right)^{3\ln\left(x\right)}$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of (x-1)^(3ln(x)) as x approaches 1. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Evaluate the limit \lim_{x\to1}\left(e^{3\ln\left(x\right)\ln\left(x-1\right)}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. \ln(0) grows unbounded towards minus infinity.
Find the limit of (x-1)^(3ln(x)) as x approaches 1
Final answer to the exercise
indeterminate