37. Find lim f(x) if, for all x, -4x+6 < f(x) < x²-2x+7. x→-1

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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33. lim(4e')(7e¯)
34. lim t
sin t
In Exercises 35–36, multiply by V4 + h + 2 in numerator
and denominator and use algebra to find the limit.
V4 + h – 2
1/V4 +h – 1/2
35. lim
h→0
36. lim
h
h→0
h
37. Find lim f(x)if, for all x, -4x+6 < f (x) < x²-2x+7.
x→-1
38. Find lim f (x) if, for all x, 4 cos(2x) < f(x) < 3x² + 4.
39. Find lim f(x) if, for x > 0,
4x² – 5
4x6 + 3
< f(x) <
x6
x2
Q
>
Result 5 of 14
Transcribed Image Text:33. lim(4e')(7e¯) 34. lim t sin t In Exercises 35–36, multiply by V4 + h + 2 in numerator and denominator and use algebra to find the limit. V4 + h – 2 1/V4 +h – 1/2 35. lim h→0 36. lim h h→0 h 37. Find lim f(x)if, for all x, -4x+6 < f (x) < x²-2x+7. x→-1 38. Find lim f (x) if, for all x, 4 cos(2x) < f(x) < 3x² + 4. 39. Find lim f(x) if, for x > 0, 4x² – 5 4x6 + 3 < f(x) < x6 x2 Q > Result 5 of 14
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