I have attached the questions and answers sheet please help me solve these problems and explain ANSWERS:1. 0.22472. a. undefined b. undefined3. a. Must be true4. a. -2, -1, 25.6. a. 17.-8lim sin(x) = 18. 8=0.01159. a. 1.510. X-0011. x+clim f(x) = Llim f(x) = ∞√√2-612.a. 313.a. 2b. 0 c. undefined-4b. 0 c. 0b.b. Must be trueb. -2, -1, 0, 1, 212√2-------5b. 80.119400 9C. -1-2-4-10c. Must be trueC. -1d. infinity4d. 16d. Doesn't have to be true8e. 1 5.Graph a function that has the following properties.limX→-1+f(x) = ∞0a.C.limX→∞06. Find the limits, if they exist.sin(4x)a.f(x) = 0lim.X-0 4xb. limX→03(1-cos(x))Xc. lim cosX→01Xd. lim tan(x)whenever 0 < x7. Rewrite or explain what the following means:b.<8.d.3x¹ - 8xa. lim-X→ 2X¹ +1b. limX-00limX→-1For each &> 0 there exists a 8 >0 such that if 00 such that f(x)-L|<0.01f(x) = -5x2 −8x+33x³ +1f(x) = 2π9. Find each limit without making a table or a graph. Write a sentence explaining how yougot the answer.c. limX-007x³ - 2x²2x² +1

Answered: 5. Graph a function that has the…

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.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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Question

I have attached the questions and answers sheet please help me solve these problems and explain

ANSWERS:
1. 0.2247
2. a. undefined b. undefined
3. a. Must be true
4. a. -2, -1, 2
5.
6. a. 1
7.
-8
lim sin(x) = 1
8. 8=0.0115
9. a. 1.5
10. X-00
11. x+c
lim f(x) = L
lim f(x) = ∞
√√2
-6
12.a. 3
13.a. 2
b. 0 c. undefined
-4
b. 0 c. 0
b.
b. Must be true
b. -2, -1, 0, 1, 2
1
2√2
-------5
b. 80.1194
00 9
C. -1
-2
-4
-10
c. Must be true
C. -1
d. infinity
4
d. 1
6
d. Doesn't have to be true
8
e. 1

5.
Graph a function that has the following properties.
lim
X→-1+
f(x) = ∞0
a.
C.
lim
X→∞0
6. Find the limits, if they exist.
sin(4x)
a.
f(x) = 0
lim.
X-0 4x
b. lim
X→0
3(1-cos(x))
X
c. lim cos
X→0
1
X
d. lim tan(x)
whenever 0 < x
7. Rewrite or explain what the following means:
b.
<8.
d.
3x¹ - 8x
a. lim-
X→ 2X¹ +1
b. lim
X-00
lim
X→-1
For each &> 0 there exists a 8 >0 such that if 0<x <8, then sin(x)-1| <ɛ.
lim
x →→→∞0
8. For lim cos(x)=L, find the limit L and then find 8 >0 such that f(x)-L|<0.01
f(x) = -
5x2 −8x+3
3x³ +1
f(x) = 2
π
9. Find each limit without making a table or a graph. Write a sentence explaining how you
got the answer.
c. lim
X-00
7x³ - 2x²
2x² +1

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Question - 5

The following properties are given for a function,

$straight a. space limit as straight x rightwards arrow negative 1 to the power of plus of space f open parentheses x close parentheses equals infinity straight b. space limit as straight x rightwards arrow negative 1 to the power of minus of space f open parentheses x close parentheses equals negative infinity straight c. space limit as straight x rightwards arrow infinity of space f open parentheses x close parentheses equals 0 straight d. space limit as straight x rightwards arrow negative infinity of space f open parentheses x close parentheses equals 2$