Get solution: 2932 TrueFalse Determine whether the statement is true orfalse. Explain

Chapter 13, Problem 32

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True-False Determine whether the statement is true or false. Explain your answer.

If $\lim _{x \rightarrow 0+} f(x)=L \neq 0$, then

$\lim _{(x, y) \rightarrow(0,0)} \frac{x^{2}+y^{2}}{f\left(x^{2}+y^{2}\right)}=0$

Equation Transcription:

$li{m}_{x\rightarrow{}{0}^{+}}f(x)=L\ne{}0$

$\lim\limits_{{(x,y)} \rightarrow {(0,0)}}$ $\frac{{x}^{2}+{y}^{2}}{f({x}^{2}+{y}^{2})}=0$

Text Transcription:

\lim _x \rightarrow 0+} f(x)=L \neq 0

lim _(x, y) \rightarrow(0,0)x^2+y^2 (x^2+y^2)=0

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