Consider the function (a) Show that as (x, y) (0, 0) along any line y =
Question:
Consider the function
(a) Show that as (x, y) → (0, 0) along any line y = mx, the limit equals 0.
(b) Show that as (x, y) → (0, 0) along the curve y = x3, the limit does not equal 0, and hence, does not exist.
Transcribed Image Text:
f(x, y) = xy + 2y x
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a Along the line y mx the limit is If m0 this simplifies to x mx lim x0 x 2mx mx x0 x4 2m lim 0 l...View the full answer
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