I think I figured out the 2nd part:
x= y + pi
lim[sin(y + pi)/sin(y)] = [sin(y)cos(pi)+cos(y)sin(pi)]/sin(y) = cos(pi) + cot(y)sin(pi) = 1 +0
(x,y)-->(pi,0)
"Which brings up my final question: why did you title this "limits in 3 variables" when your problem has only 2 variables?"
I misspoke
How about this: Since I have a hunch the limit doesn't exist I prove that it doesn't exist by showing that you get two different limits when evaluating over...
so I'd prove that the original limit doesn't exist by showing:
lim[sin(x)/sin(y)] = [sin(pi)/sin(y)] = 0
(x,y)-->(pi,y)
lim[sin(x)/sin(y)] = [sin(pi)/sin(0)] DNE
(x,y)-->(pi,0)
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...
Homework Statement Find all planes in R^3 whose intersection with the xz-plane is the lijne with equation 3x + 2z = 5
The Attempt at a Solution
Very confused here, not sure how to start it. the xz plane is another way of saying y = 0... which I'm guessing is why the equation doesn't have a...