Question

Limit question:

Answer 1

Limit as (x,y)---->(0,0)

Answer 2

approach along the line x=y
then try along x=2y

Answer 3

is this limit defniend?

Answer 4

if you do what I said that will answer your question

Answer 5

the answer is 2

Answer 6

but then when i said for examply, y=x^3

Answer 7

its was still undefined

Answer 8

try x=2y

Answer 9

oh yes its DNE

Answer 10

bingo :)

Answer 11

YESSSSSSSSSSSSSSSSSSSS

That is what i put on quiz

Answer 12

you know its kinda deciving cause, y=x^2 and x=y^2 leads you to believe the limit is 2

Answer 13

I hope you demonstrated that along x=y you get 2
and along x=2y you get 5/2
that is how you show your work that the limit DNE

Answer 14

always try to chose a path that will not leave you undefined
i.e. get it all in terms of x or y so that they cancel
you always need to approach along multiple paths to prove if the limit DNE or not

Answer 15

yeah thanks man

Answer 16

no prob