Find the limits in Exercises 11–18.

Chapter 2, Problem 18E

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QUESTION:

Find the limits in Exercises 11–18.

a. \(\lim _{x \rightarrow 1^{+}} \frac{\sqrt{2 x}(x-1)}{|x-1|}\)

b. \(\lim _{x \rightarrow 1^{-}} \frac{\sqrt{2 x}(x-1)}{|x-1|}\)

Equation Transcription:

Text Transcription:

lim_x right arrow 1^+ sqrt 2x (x - 1)/| x - 1|

lim_x right arrow = 1^- sqrt 2x (x - 1)/| x - 1 |

Questions & Answers

QUESTION:

Find the limits in Exercises 11–18.

a. \(\lim _{x \rightarrow 1^{+}} \frac{\sqrt{2 x}(x-1)}{|x-1|}\)

b. \(\lim _{x \rightarrow 1^{-}} \frac{\sqrt{2 x}(x-1)}{|x-1|}\)

Equation Transcription:

Text Transcription:

lim_x right arrow 1^+ sqrt 2x (x - 1)/| x - 1|

lim_x right arrow = 1^- sqrt 2x (x - 1)/| x - 1 |

ANSWER:

Solution :

Step 1 :

In this problem, we have to find the limits.

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