Let (a) Show that (b) Show that |(x, y)| |x| + |y|. (c) Use the Squeeze

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Let f(x, y) = x + y x + y

(a) Show that

|x|  |x|(x + y), ]y|  [yl(x + y)

(b) Show that |ƒ(x, y)| ≤ |x| + |y|.
(c) Use the Squeeze Theorem to prove that lim f(x, y) = 0. (x,y)(0,0)

Using the Squeeze Theorem, show that lim (t sin ) = 0 1 1 sin=1 t 1 -t tsin-t lim (-t) = 0 and lim (t) = 0

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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