Thread: Evaluating A Limit

Can anyone guide me as to how I would evaluate this limit

lim as (x,y) -> (0,0) of ( (x^2 + y^2)^(1/2) x ln(1/(x^2 + y^2)^(1/2))

i plugged in several paths and the limit was 0 for all of them but I am required to do it the delta epsilon way

I would switch to polar coordinates and find the limit as r goes to zero.

thanks i got it

Originally Posted by sleepiiee

Can anyone guide me as to how I would evaluate this limit

lim as (x,y) -> (0,0) of ( (x^2 + y^2)^(1/2) x ln(1/(x^2 + y^2)^(1/2))

i plugged in several paths and the limit was 0 for all of them but I am required to do it the delta epsilon way

Please improve your notation, you appear to be using "x" as a variable and as a multiplication operator.

CB