# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\lim_{x\to1}\left(l\cdot\frac{\ln\left(x\right)}{x-1}\right)$

Learn how to solve limits by direct substitution problems step by step online.

$\lim_{x\to1}\left(\frac{l\ln\left(x\right)}{x-1}\right)$

Learn how to solve limits by direct substitution problems step by step online. Evaluate the limit of l(ln(x)/(x-1) as x approaches 1. Multiplying the fraction by l. Using the power rule of logarithms. Evaluate the limit \lim_{x\to1}\left(\frac{\ln\left(x^l\right)}{x-1}\right) by replacing all occurrences of x by 1. Simplifying, we get.

$\lim_{x\to1}\left(l\cdot\frac{\ln\left(x\right)}{x-1}\right)$