17. Using the definition you gave in Exercise 2.1.14, show that (a) lim (1-2)=1 2|x| x→→∞ 1 + x (c) lim sin x does not exist X→-∞ (b) lim = -2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.1: Limits
Problem 8YT
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17. Using the definition you gave in Exercise 2.1.14, show that
2|x|
(a) lim 1
8118
---)-
1/2) =
x2
= 1
(c) lim sinx does not exist
X118
(b) lim
x → ∞ 1 + x
= -2
Transcribed Image Text:17. Using the definition you gave in Exercise 2.1.14, show that 2|x| (a) lim 1 8118 ---)- 1/2) = x2 = 1 (c) lim sinx does not exist X118 (b) lim x → ∞ 1 + x = -2
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