Suppose that X and Y have the following joint cumulative distribution function:

F(x,y) = [1 - e^(-2x)] [1 - e^(-3y)]I(0,infinite)[x], I(0,infinite)[y]

i. What does lim (y goes to infinite) F(2,y) denote?

ii. What does lim (y goes to infinite) F(2,y) equal?

iii. Find the joint probability density function fX,Y for X and Y.

Any help with this problem will be appreciated. part iii in particular. thanks