Question
Asked Nov 4, 2019

#9

7.
lim
y sin (x - y)
(x, y)(, #/2)
x-4y2
9.
lim
s, y)-(0, 0) x+2y
y2 sinx
lim
11
y)-(0, 0) x+ y
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7. lim y sin (x - y) (x, y)(, #/2) x-4y2 9. lim s, y)-(0, 0) x+2y y2 sinx lim 11 y)-(0, 0) x+ y

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Expert Answer

Step 1

To find: The limit exists or not.

x*-4у?
x)->(0,0) 22 +2у"
lim
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x*-4у? x)->(0,0) 22 +2у" lim

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Step 2

The limit (x, y) approaches (0, 0), along x-axis (i.e.) y = 0 and alo...

Let y 0
r4
x
lim
lim 0
"x-+0
x-0
Let r 0
4y
lim
x>0
= lim
x0
-2
2y2
Thus, the limit does not exist
help_outline

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Let y 0 r4 x lim lim 0 "x-+0 x-0 Let r 0 4y lim x>0 = lim x0 -2 2y2 Thus, the limit does not exist

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Tagged in

Math

Calculus

Limits