Let fx) and consider the limits lim_x) and lim x). (a) Use a table of values to evaluate f(x) - X 0.5 0.9 lim f(x)= 0.99 0.999 0.9999 0.99999 15 10 f(x) 3 -10) X 15 1.5 (b) Use an analytical argument to find each limit. (If the limit is infinite, enter "oe" or "-o, as appropriate. If the limit does not otherwise exist, enter DNE.) lim f(x)= 10 1.1 1.01 (c) Sketch a graph off to confirm your results. (A graphing calculator is recommended.) 1.001 1.0001 1.00001 for values of x that approach 1 from the left and from the right. (Round your answers to one decimal place.) f(x) 10 -10 13 Ell 4 15 10 31 -10

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 4SE: How do you find the domain for the composition of two functions, fg ?
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1
Let f(x)=
and consider the limits lim f(x) and lim f(x).
(a) Use a table of values to evaluate f(x) for values of x that approach 1 from the left and from the right. (Round your answers to one decimal place.)
f(x)
f(x)
0.5
0.9
0.99
0.999
0.9999
0.99999
15
10
3)
-10
X-1
15
10
X
(b) Use an analytical argument to find each limit. (If the limit is infinite, enter "or" or "-o, as appropriate. If the limit does not otherwise exist, enter DNE.)
-10
1.5
(c) Sketch a graph off to confirm your results. (A graphing calculator is recommended.)
1.1
1.01
1.001
1.0001
1.00001
y
13
-10
-15
C
15
10
f
@o
Transcribed Image Text:1 Let f(x)= and consider the limits lim f(x) and lim f(x). (a) Use a table of values to evaluate f(x) for values of x that approach 1 from the left and from the right. (Round your answers to one decimal place.) f(x) f(x) 0.5 0.9 0.99 0.999 0.9999 0.99999 15 10 3) -10 X-1 15 10 X (b) Use an analytical argument to find each limit. (If the limit is infinite, enter "or" or "-o, as appropriate. If the limit does not otherwise exist, enter DNE.) -10 1.5 (c) Sketch a graph off to confirm your results. (A graphing calculator is recommended.) 1.1 1.01 1.001 1.0001 1.00001 y 13 -10 -15 C 15 10 f @o
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