How to show the limit of a multi-variable function doesn't exist

Here is a calculus 3 tutorial with 8 examples showing the limit of a multi-variable function does not exist.
File:   / 110137781  

Thanks to ‪@aaryavbhardwaj6967‬ for the timestamps!
00:00 Intro
00:36 (x^2+y) /(x-2y) as (x,y) goes to (0, 0)
04:05 |x|^|y| as (x,y) goes to (0, 0)
07:33 (e^x - cosy)/(x-y) as (x,y) goes to (0, 0)
12:10 (x^2 y)/(x^4+y^2) as (x,y) goes to (0, 0)
18:24 xy/(x+y) as (x,y) goes to (0, 0)
23:51 (√x+√y-2)/(x+y-2) as (x,y) goes to (1, 1)
31:12 (xsinx)/siny as (x,y) goes to (0, 0)
34:49 (x y^2 z^2)/(x^3+y^6+z^6) as (x,y,z) goes to (0, 0,0)
40:07 Outro
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