Let † : R² → R be the function x2 if (x, y) + (0,0) f (x, y) = x + Y if (x, y) (0,0) By using the definitions only (as limits), compute both f-(0,0) and fy(0,0).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Let f : R? → R be the function
if (x, y) # (0,0)
f (x, y)
x + y
if (x, y) = (0,0)
By using the definitions only (as limits), compute both f(0, 0) and f,(0,0).
Transcribed Image Text:Let f : R? → R be the function if (x, y) # (0,0) f (x, y) x + y if (x, y) = (0,0) By using the definitions only (as limits), compute both f(0, 0) and f,(0,0).
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