Solution: Does knowing that tell you anything about Give

Chapter 13, Problem 58E

(choose chapter or problem)

Does knowing that $|\cos (1 / y)| \leq 1$ tell you anything about

$\lim _{(x, y) \rightarrow(0,0)} x \cos \frac{1}{y}$

Give reasons for your answer.

Equation Transcription:

$\left|{cos\ (1/y)}\right|$ $\leq{}$ 1

$\lim\limits_{{(x,\ y)} \rightarrow {(0,\ 0)}}x\ cos\ \frac{1}{y}$

Text Transcription:

|cos (1/y)| leq 1

lim_(x,y) rightarrow (0,0) x cos 1/y

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