Calculus 3
posted by Anonymous on .
Find the limit, if it exists, or show that the limit does not exist. lim of x+y/y^2x^2 as (x,y) approaches the point (1,1).

Evaluate the limit along the line y=mx where m∈R.
f(x,y)
=(x+y)/(y^2x^2)
=(x+mx)/(m^2x^2x^2)
=x(1+m)/[x^2(m+1)(m1)]
=1/[(m1)x]
Since the limit depends on m, the limit does not exist.