Thread: Limits of 2 Variables

lim ( cos(x)-1 + (x^2)/2 ) / (x^4 + y^4)
(x,y) - (0,0)


To evaluate this limit do i use L'Hospital's rule a few times to get it down to a solution or am i reading into it too much and is easier way?


Cheers

Originally Posted by monster

lim ( cos(x)-1 + (x^2)/2 ) / (x^4 + y^4)
(x,y) - (0,0)


To evaluate this limit do i use L'Hospital's rule a few times to get it down to a solution or am i reading into it too much and is easier way?


Cheers

First approach (0,0) from different directions. Along the y axis (x=0) then

.

Then along the x axis (y=0) then

(use L'Hopital's rule on this one)