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

Chapter 13, Problem 30

(choose chapter or problem)

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

If $f(x, y) \rightarrow L$ as $(x, y)$ approaches $(0,0)$ along the $x$-axis, and if

$f(x, y) \rightarrow L$ as $(x, y)$ approaches $(0,0)$ along the $y$-axis, then

$\lim _{(x, y) \rightarrow(0,0)} f(x, y)=L$.

Equation Transcription:

$f(x,y)\rightarrow{}L$

$(x,y)$

$(0,0)$

$x$

$f(x,y)\rightarrow{}L$

$(x,y)$

$(0,0)$

$y$

$li{m}_{(x,y)\rightarrow{}(0,0)\ }\ f(x,y)=L$

Text Transcription:

f(x,y) \rightarrow L

(x,y)

(0,0)

f(x,y) \rightarrow L

(x,y)

(0,0)

lim_(x,y)(0,0) f(x,y)=L

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