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

Exercise

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

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Final answer to the exercise

$1$

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  • Solve using L'Hôpital's rule
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  • Solve using limit properties
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  • Integrate by partial fractions
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Main Topic: Limits by L'Hôpital's rule

In mathematics, and more specifically in calculus, L'Hôpital's rule uses derivatives to help evaluate limits involving indeterminate forms.

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