15.H. Use the inequality Įsin (æ)| < \a} to show that the sine function is continuous at x = 0. Use this fact, together with the identity x + sin (x) - sin(u) = 2 sin cos 2 2 to prove that the sine function is continuous at any point of R. 15 I Using the results of the preceding exercise show that the function a

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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15.H

15.H. Use the inequality
Įsin (æ)| < \a}
to show that the sine function is continuous at x = 0. Use this fact, together
with the identity
x +
sin (x)
- sin(u)
= 2 sin
cos
2
2
to prove that the sine function is continuous at any point of R.
15 I Using the results of the preceding exercise show that the function a
Transcribed Image Text:15.H. Use the inequality Įsin (æ)| < \a} to show that the sine function is continuous at x = 0. Use this fact, together with the identity x + sin (x) - sin(u) = 2 sin cos 2 2 to prove that the sine function is continuous at any point of R. 15 I Using the results of the preceding exercise show that the function a
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