For each limit statement in Exercises 41–44, use algebra to find 8 or N in terms of e or M, according to the appropriate formal limit definition. 41. lim (1+ Vx+2) = 1, find 8 in terms of e X-2+ x- 1 = 1, find N in terms of e 42. lim x00 43. lim x+1- 1 - x = 00, find 8 in terms of M 44. lim (x? + 2) = 0, find N in terms of M x00 1.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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For each limit statement in Exercises 41–44, use algebra to
find 8 or N in terms of e or M, according to the appropriate
formal limit definition.
41. lim (1+ Vx+2) = 1, find 8 in terms of e
X-2+
x- 1
= 1, find N in terms of e
42. lim
x00
43. lim
x+1- 1 - x
= 00, find 8 in terms of M
44. lim (x? + 2) = 0, find N in terms of M
x00
1.
Transcribed Image Text:For each limit statement in Exercises 41–44, use algebra to find 8 or N in terms of e or M, according to the appropriate formal limit definition. 41. lim (1+ Vx+2) = 1, find 8 in terms of e X-2+ x- 1 = 1, find N in terms of e 42. lim x00 43. lim x+1- 1 - x = 00, find 8 in terms of M 44. lim (x? + 2) = 0, find N in terms of M x00 1.
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