(a) lim e-" (x³ – x² + 9) sin x – x cos x (b) lim x→0 x – sin x (c) lim (x – In x)

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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Use L’Hˆopital’s Rule to evaluate the following limits, or state that L’Hˆopital’s Rule does not apply.

 

 

3
(a) lim e-ª(x³ – x² + 9)
sin x
(b) lim
x cos x
х — sin
-
(c) lim (x – In x)
x 00
(d) lim sin x ln x
x→0+
(e)
lim (sec x – tan x)
x→T/2-
x3 – 64
-
(f) lim
x→4 x2 + 16
3x
(g) lim
x +1
Transcribed Image Text:3 (a) lim e-ª(x³ – x² + 9) sin x (b) lim x cos x х — sin - (c) lim (x – In x) x 00 (d) lim sin x ln x x→0+ (e) lim (sec x – tan x) x→T/2- x3 – 64 - (f) lim x→4 x2 + 16 3x (g) lim x +1
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