2. Compute the iterated limits at (0,0) of each of the following functions. Determine which of these

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2. Compute the iterated limits at (0,0) of each of the following functions. Determine which of these functions has a limit as (x, y) --+ (0,0) in R2, and prove that the limit exists.

(a) f( ) = sinxsiny x,y 2 2·

X +y

(b)

(c)

x-y f(x, y) = (x2 + y2)Q'

1 0:<-2·

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An Introduction To Analysis

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2. Compute the iterated limits at (0,0) of each of the following functions. Determine which of these

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An Introduction To Analysis

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