show that the following function is continuos at (0,0)

i need to know how to do this kind of problems, with this example i think i may be able to do other problems of the same kind

thanks

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- May 1st 2010, 02:25 PMmmscontinuity
show that the following function is continuos at (0,0)

i need to know how to do this kind of problems, with this example i think i may be able to do other problems of the same kind

thanks - May 1st 2010, 10:09 PMchisigma
To aswering the question it is necessary to valuate the...

(1)

At this scope we use polar coordinates...

(2)

... and limit (1) becomes...

(3)

Bur the limit (3) is 0 independently from so that the function You have proposed is continous in ...

Kind regards