2. f(x) = sin(x) lim sin(x) - et x + 00

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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How do I solve problem #2?

sin
tan =
Cos
Problem 2, For each of the following functions f(x) evaluate lim,∞ f (x).
Then determine the horizontal asymptotic.
x→∞
1. f(x)
lim
arctn (x) = T% HA:y=%2
arctan(x)
2. f(x) = sin(x)
lim
sincx) =
ex
X + 00
3. f(x) =
10x10+2x
8x15+15 +
lim 10xPx2x
4. f(x) = V3²+4
x+8n
5. f(x) =
Зе" — 4
5er+2
3x +_4
3x² + 4
4. Lim
Lim V 3+
Lim
+ Bn
Transcribed Image Text:sin tan = Cos Problem 2, For each of the following functions f(x) evaluate lim,∞ f (x). Then determine the horizontal asymptotic. x→∞ 1. f(x) lim arctn (x) = T% HA:y=%2 arctan(x) 2. f(x) = sin(x) lim sincx) = ex X + 00 3. f(x) = 10x10+2x 8x15+15 + lim 10xPx2x 4. f(x) = V3²+4 x+8n 5. f(x) = Зе" — 4 5er+2 3x +_4 3x² + 4 4. Lim Lim V 3+ Lim + Bn
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