Use l’Hôpital’s rule to find the limits in

Chapter 4, Problem 41E

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QUESTION:

Use l’Hôpital’s rule to find the limits in Exercises 7–50.

\(\lim \limits _{x\rightarrow1^+}\ \left(\frac{1}{x-1}-\frac{1}{\ln\ x}\right)\)

Equation Transcription:

Text Transcription:

lim_x rightarrow 1^+ (frac 1 / x-1- frac 1 / ln x)

Questions & Answers

QUESTION:

Use l’Hôpital’s rule to find the limits in Exercises 7–50.

\(\lim \limits _{x\rightarrow1^+}\ \left(\frac{1}{x-1}-\frac{1}{\ln\ x}\right)\)

Equation Transcription:

Text Transcription:

lim_x rightarrow 1^+ (frac 1 / x-1- frac 1 / ln x)

ANSWER:

Solution :

Step 1 of 8 :

In this problem, we have to find the limit using L'Hospital's rule.

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