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f(x,y) limit

86B861D7-107B-4AC3-A70D-284FB9DA209B.jpg.jpeg

I would be really grateful if someone could help me with this question. Thanks :-)
Original post by Masterchief1345
86B861D7-107B-4AC3-A70D-284FB9DA209B.jpg.jpeg

I would be really grateful if someone could help me with this question. Thanks :-)

Try showing that the limit is different depending on line of approach towards (0,0)
Original post by RDKGames
Try showing that the limit is different depending on line of approach towards (0,0)


I’ve tried that but every line I try tends to 0... I can’t get it to tend to anything else
Original post by Masterchief1345
I’ve tried that but every line I try tends to 0... I can’t get it to tend to anything else

Really?

I'm eye-balling the expression and it's apparent to me that if you sub in y=kx then the resulting limit is dependent on k.

Post your working out.
Original post by RDKGames
Really?

I'm eye-balling the expression and it's apparent to me that if you sub in y=kx then the resulting limit is dependent on k.

Post your working out.


I’ve got that it tends to (k - k^3)/(1 + k^4)

By subbing it in and applying l’hôpitals rule multiple times I get that answer.

Thanks a lot for your help!
Original post by Masterchief1345
I’ve got that it tends to (k - k^3)/(1 + k^4)

By subbing it in and applying l’hôpitals rule multiple times I get that answer.

Thanks a lot for your help!

L'hopital's rule? Huh?

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