Investigate the three special functions by performing the following task. Write an a comparison of your answer on the limits of any of the special functions after each item. 1. Evaluate lim x0 sin x lim x+0- sin x X lim 0+ sin x X f(x) f(x) -1 -0.5 0.5 -0.1 0.1 -0.001 0.001 -0.00001 0.00001 -0.000001 0.000001 Answer: lim x0 sin x Comparison:

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...
Question
Investigate the three special functions by performing the following task. Write an
a comparison of your answer on the limits of any of the special functions after each item.
1. Evaluate lim
x-0 sin x
lim
x+0- sinx
lim
*-0+ sin x
X
X
f(x)
f(x)
-1
1
-0.5
0.5
-0.1
0.1
-0.001
0.001
-0.00001
0.00001
-0.000001
0.000001
Answer: lim-
x--0 sin x
Comparison:
Transcribed Image Text:Investigate the three special functions by performing the following task. Write an a comparison of your answer on the limits of any of the special functions after each item. 1. Evaluate lim x-0 sin x lim x+0- sinx lim *-0+ sin x X X f(x) f(x) -1 1 -0.5 0.5 -0.1 0.1 -0.001 0.001 -0.00001 0.00001 -0.000001 0.000001 Answer: lim- x--0 sin x Comparison:
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