Recall the definition of derivatives and find the limit lim x23 sin z-sin lim 23 sin a 2- Use your scientific calculator to find a numerical answer with four digits after the decimal point. Note that the angles here are in radians. sin 23

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...
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Recall the definition of derivatives and find the limit
lim
x
23
Use your scientific calculator to find a numerical answer with four digits after the decimal point. Note that the angles here are in radians.
sin 2-sin
lim
23
sin x - sin
X-
23
Transcribed Image Text:Recall the definition of derivatives and find the limit lim x 23 Use your scientific calculator to find a numerical answer with four digits after the decimal point. Note that the angles here are in radians. sin 2-sin lim 23 sin x - sin X- 23
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\lim _{x\to \frac{\pi }{23}}\left(\frac{\sin \left(x\right)-\sin \left(\frac{\pi }{23}\right)}{x-\frac{\pi }{23}}\right)

substitute

h=x-\frac{\pi }{23} \:\:\:\:\:\:\:x=h+\frac{\pi }{23}

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