Only one of these calculations is correct to evaluate the limit lim xtanx Select one: lim xlanx → take Iin Inx lim tanx Inx = lim - (1/ tanx) Take exponential - lim xtanx = e° =1 lim xtanx = 0° = 0 lim xtanx → take In x-0+ (1/x) lim (sin²x) = lim (2 sinx cosx) (-1) Inx lim tanx Inx = lim = lim (cotx) - (-csc²x) (-x) Take exponential - lim xtanx = e° =1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Only one of these calculations is correct to evaluate the limit lim xtanx
X+0+
Select one:
lim xtanx take In
x+0+
Inx
lim tanx Inx = lim
= 0
x+0+ (1/tanx)
+ lim xtanx = e° = 1
x+0+
Take exponential
X+0+
lim xtanx = 0° = 0
X+0+
lim xtanx + take In
X+0+
(1/x)
(sin²x)
= lim
(2 sinx cosx)
= 0
(-1)
Inx
lim tanx Inx = lim
= lim
= lim
X+0+ (cotx)
Take exponential + lim xtanx = e0 = 1
(-x)
x+0+
x+0+ (-csc2x)
X+0+
X+0+
X+0+
tanv
Transcribed Image Text:Only one of these calculations is correct to evaluate the limit lim xtanx X+0+ Select one: lim xtanx take In x+0+ Inx lim tanx Inx = lim = 0 x+0+ (1/tanx) + lim xtanx = e° = 1 x+0+ Take exponential X+0+ lim xtanx = 0° = 0 X+0+ lim xtanx + take In X+0+ (1/x) (sin²x) = lim (2 sinx cosx) = 0 (-1) Inx lim tanx Inx = lim = lim = lim X+0+ (cotx) Take exponential + lim xtanx = e0 = 1 (-x) x+0+ x+0+ (-csc2x) X+0+ X+0+ X+0+ tanv
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