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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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
Transcribed Image Text:Find the limit
lim
(x,y) (-45,9)
xY cos(x + 5y)
(Enter 'DNE' if the limit does not
exist)
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- (2) The goal of this problem is to evaluate xe-*dx : lim xe-*. (a) Evaluate f xe-*dx. (b) Using FTC2 and your answer to (a), write J xe-"dx as an expression in z. (c) Take the limit of the expression found in part (b) as z → 0. You may need to appeal to L'Hospital's Rule.arrow_forwardF(x) - Let F(x) = | 3e“ dt. Find lim if it exists. If the limit does not exist, explain why.arrow_forward7. Show that the limit does not exist by approaching (0,0) along different paths. lim + y- (x, y)→(0,0)arrow_forward
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