Evaluate the limit: lim X-7-3 sin (x+3) 2 x² +8x+15

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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Evaluate the limit
lim
X-7-3
sin (x+3)
2
x² +8x+15
Transcribed Image Text:Evaluate the limit lim X-7-3 sin (x+3) 2 x² +8x+15
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How did you get from (x2+8x+15) to (x+3x+5)?

How did you get from (x+3x+5) to (x+3)(x+5) for the bottom part?

Also how did you get the top part for (sinx+3) / (x+3) and (1) / (x+5)? Do the (sinx+3)/ (x+3) cancel out and become 1? 

Thank you agian for your help

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