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sara_87
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Homework Statement
given: w is any bounded 2pi periodic function of one variable. and u(x,y) is a function in cartesian coordinates.
show that u(x,y)=r*w(theta) is continuous at the origin.
Homework Equations
u(x,y)=r*w(theta) is equal to v(r,theta) where v is a function in polar coordinates
The Attempt at a Solution
I know that the definition of continuity is:
f(x) is said to be continuous at x=x0 if the limit of f(x) as x tends to x0 is equal to f(x0).
but i don't know how to apply it in this case just that our x0 is the origin but how do i apply this in terms of polar coordinates?