- #1

WonderKitten

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- TL;DR Summary
- What path could I use to prove that the following limit doesn't exist.

Hey, so I have the following problem:

I'm trying to prove that the limit doesn't exist (although I'm not sure if it does or not) so:

along y=mx -> x=y/m:

, which is 0 for all k≠0.

along y^n it's the same and I'm not sure what I should do next. Could I set x = sin(y)?

If I can, then the limit in that instance would be infinite, thus proving that the limit doesn't exist, right?

I'm trying to prove that the limit doesn't exist (although I'm not sure if it does or not) so:

along y=mx -> x=y/m:

along y^n it's the same and I'm not sure what I should do next. Could I set x = sin(y)?

If I can, then the limit in that instance would be infinite, thus proving that the limit doesn't exist, right?