Determine whether the statement is true or false. Explain your answer. If f x , y → L as x , y approaches 0 , 0 along the x -axis, and if f x , y → L as x , y approaches 0 , 0 along the y -axis, then lim x , y → 0 , 0 f x , y = L .
Determine whether the statement is true or false. Explain your answer. If f x , y → L as x , y approaches 0 , 0 along the x -axis, and if f x , y → L as x , y approaches 0 , 0 along the y -axis, then lim x , y → 0 , 0 f x , y = L .
Determine whether the statement is true or false. Explain your answer.
If
f
x
,
y
→
L
as
x
,
y
approaches
0
,
0
along the x-axis, and if
f
x
,
y
→
L
as
x
,
y
approaches
0
,
0
along the y-axis, then
lim
x
,
y
→
0
,
0
f
x
,
y
=
L
.
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