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Determine the Limits Assignment | Assignment Help Services

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September 13th, 2019

Determine if the limitslim(x, y) -(0, o) f (x, y)exist by changing the problem to polar coordinates. Use the fact that r -> 0* as (x, y) -> (0, 0) in your work. There are several different situations that can arise. First, if the limit blows up or dependson 0 as r -> 0* then the limit does not exist.

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Second, if there is a function g(r) such that |f(/ cos(0), r sin(0))| = g(r) for all (r, 0) and lim g(r) = 0, then wimjimfo. ) f(x, V) = 0. Evaluate the limitbelow. (If an answer does not exist, enter DNE.)(5×3 + 7y3)(x, v) — (0, 0) x2 + y?lim(5×3 + 7y3)_(x, y) – (0, 0) x2 + y?

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