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## Homework Statement

evaluate the limit or determine that it does not exist.lim [sin(x)/sin(y)]

(x,y)--->(pi,0)

## The Attempt at a Solution

since it is not continues at point (pi,0) I can't use use substitution, so I attempted to prove that the limit does not exist by evaluating it along the x and y axises

along x-axis:

lim [sin(x)/sin(0)] = DNE

(x,y)-->(x,0)

along y-axis:

lim [sin(0)/sin(y)] = 0

(x,y)-->(0,y)

since the two are not equal, the limit does not exist

is this correct? am I even close :(