Question

what is the limit (x,y)-->(0,0) (x^2*sin^2(y))/(x^2+2y^2)

Answer 1

lim (0,y)=0
lim (x,0=0
lim(x,x)=x^2*sin(x)/2x^2 evaluated at x=0 =0
limit is 0

Answer 2

bur isnt the limit for f(x,0)=1

Answer 3

no sin of 0 is 0

Answer 4

oh right

Answer 5

also i was wondering if one can use l'hopitals rule along a path

Answer 6

you could but you dont need to generaly

Answer 7

ok thanks just needed that clarified for other question

Answer 8

you should be able to use the x,yvaue:xvalue,y:x,x to test almost allof them

Answer 9

jsut remember when you get to x,y,z you have to d (x, yvalue,zvalue),(xvalue,y,zvalue),(xvalue,yvalue,z) and at least one other line on the plane