1. Complete the following tables of values to investigate lim(x² – 2x + 4). f(x) f(x) 1.6 0.5 1.35 0.7 1.05 0.995 1.005 0.9995 1.00005 0.99995

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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1. Complete the following tables of values to investigate limr – 2x + 4).
f(x)
f(x)
1.6
0.5
r+1
lim
-0 x+1
1.35
0.7
1.05
0.995
1.005
0.9995
1.00005
0.99995
2.Complete the following tables to investigate
f(x)
f(x)
-1
-0.8
0.75
-0.35
0.45
-0.1
0.2
-0.09
0.09
-0.0003
0.0003
-0.000001
0.000001
2. Construct a table of values to investigate the following limits.
2r +1
lim
12 I-3
a.
if z <1
if z=1
V5z – I if z > 1
3. Consider the function f(x) whose graph is shown below.
z+3
b. lim f(r) if f(2) = {22
Determine the following:
a. lim f(z)
-3
b. lim f(x)
-1
c. lim f(x)
d. lim f(z)
e. lim f(z)
Retrieved from:basiccalc_initial_release_13june.pdf
Transcribed Image Text:1. Complete the following tables of values to investigate limr – 2x + 4). f(x) f(x) 1.6 0.5 r+1 lim -0 x+1 1.35 0.7 1.05 0.995 1.005 0.9995 1.00005 0.99995 2.Complete the following tables to investigate f(x) f(x) -1 -0.8 0.75 -0.35 0.45 -0.1 0.2 -0.09 0.09 -0.0003 0.0003 -0.000001 0.000001 2. Construct a table of values to investigate the following limits. 2r +1 lim 12 I-3 a. if z <1 if z=1 V5z – I if z > 1 3. Consider the function f(x) whose graph is shown below. z+3 b. lim f(r) if f(2) = {22 Determine the following: a. lim f(z) -3 b. lim f(x) -1 c. lim f(x) d. lim f(z) e. lim f(z) Retrieved from:basiccalc_initial_release_13june.pdf
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