Question

lim(x,y)->(0,0) [1-cos(15xy)]/(x^2y^2+x^2y^2)

Answer 1

\[\lim_{(x,y) \rightarrow (0,0)}[1-\cos(15xy)]/[x^2y^2+x^2y^3]\]

Answer 2

figured it would be 0 but my online homework says that isn't right

Answer 3

any thoughts?

Answer 4

I dont even think it's even defined.

Answer 5

limit doesn't exist.

Answer 6

tried dne, doesn't work

Answer 7

Let y=x , then let x go to zero

Answer 8

there has to be some trick to it... the denominator is strange.. why wouldn't they just put 2x^2y^2

Answer 9

Does your online homework say the limit is\[\frac{225}{2} \]

Answer 10

http://tutorial.math.lamar.edu/Classes/CalcIII/Limits.aspx