Find \[\lim_{x \to 1^+} \left( \frac{1}{x - 1} \right) .\]

\[\lim_{x \to 1^+} \left( \frac{1}{x - 1} \right)\]\[\text{ Let } x = 1 + h, \text{ where } h \to 0 . \]\[ \lim_{h \to 0} \left( \frac{1}{1 + h - 1} \right)\]\[ = \infty\]

Find Lim X → 1 + ( 1 X − 1 ) . - Mathematics

Question

Find $lim_{x \to 1^{+}} (\frac{1}{x - 1}) .$

Solution

$lim_{x \to 1^{+}} (\frac{1}{x - 1})$
$Let x = 1 + h, where h \to 0 .$
$lim_{h \to 0} (\frac{1}{1 + h - 1})$
$= \infty$

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Introduction of Limits

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Q 12 Q 11 Q 13.01

Chapter 29: Limits - Exercise 29.1 [Page 11]

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RD Sharma Mathematics [English] Class 11

Chapter 29 Limits
Exercise 29.1 | Q 12 | Page 11

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