Limits and continuity in multivariable functions.

[wheat ruin]

I'm trying to prove this limit does not exist.
Tried going for limits through y=mx lines and it gave 0 (a constant), so no conclusion.
Iterated limits = 0, no conclusion.
Now I'm trying with polar coordinates and I'm not sure what to conclude...

[wheat ruin]

r->0 and the trig functions on the numerator and denominator are bounded (I think), so the limit should be 0, right????
I'm supposed to prove it doesnt exist tho φ(*￣0￣)

[proud stag]

Note that for $cos\theta=0$ the limit is undetermined, if not, 0.

[latent eagle]

joansgf

[proud stag]

So it depends on $\theta$

[latent eagle]

joansgf

[wheat ruin]

aaa you're right

thank you !

[proud stag]

np

[languid arch]

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