Step-by-step Solution

Evaluate the limit of $l\frac{\ln\left(x\right)}{x-1}$ as $x$ approaches $1$

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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.

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

Unlock this full step-by-step solution!

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.

Final Answer

The limit does not exist
$\lim_{x\to1}\left(l\cdot\frac{\ln\left(x\right)}{x-1}\right)$

Time to solve it:

~ 0.08 s (SnapXam)