2 Use L'Hôpital's Rule (if possible) to calculate the following limits. If the method doesn't work, find the limit in some other way. In(x²) (a) limx→1 - (b) limx→0 (c) limx→∞ x² +sin x x² (d) limo+ (x¹/ln x). e²-ex² x-x². √9x+1 (e) limx→∞ x+1

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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How to solve question (d) and (e)?

2 Use L'Hôpital's Rule (if possible) to calculate the following limits. If the method doesn't work, find the limit
in some other way.
(a) limx→1
In(x²)
1-x
.
x x2
-e
x-x².
(b) limx→0
(c) limx→∞
x² +sin x
x2
(d) limo+ (x¹/ln x).
/9x+1
(e) limx→∞
x+1
Transcribed Image Text:2 Use L'Hôpital's Rule (if possible) to calculate the following limits. If the method doesn't work, find the limit in some other way. (a) limx→1 In(x²) 1-x . x x2 -e x-x². (b) limx→0 (c) limx→∞ x² +sin x x2 (d) limo+ (x¹/ln x). /9x+1 (e) limx→∞ x+1
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