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Mathematics 8 Online
OpenStudy (anonymous):

discuss the limit of xy/(x^2 +y^2) as it approaches 0

OpenStudy (shubhamsrg):

what approaches 0 ?

OpenStudy (anonymous):

as x and y approach zero

OpenStudy (shubhamsrg):

is ans 1/2 ?

OpenStudy (shubhamsrg):

1/2 shall be the ans assuming both x and y reach 0 at the same rate..

OpenStudy (anonymous):

I suspect that the limit does not exist (due to zeros in the denominator), but i'm not sure.

OpenStudy (anonymous):

one half would be as it approaches infinity, wouldn't it?

OpenStudy (shubhamsrg):

0 exists in both numerator and denominator,, if both tend to 0 at the same rate, then ans will be 1/2 otherwise i'll say it cant be predicted..

OpenStudy (shubhamsrg):

rate word is important,, whether its 0 or infinity..

OpenStudy (anonymous):

alright, thanks

OpenStudy (shubhamsrg):

did i actually help ? lol..

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