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Hi I need help on solving this problem for my calculus: Evaluate the limit: lim x -> (3pi)/(2) (sin2(x) + 6 sin(x) + 5)/ (sin2(x) - 1)

Hi I need help on solving this problem for my calculus: Evaluate the limit: lim x -> (3pi)/(2) (sin2(x) + 6 sin(x) + 5)/ (sin2(x) - 1)

Calculus: Early Transcendentals
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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Hi I need help on solving this problem for my calculus:

Evaluate the limit:

lim x -> (3pi)/(2)

(sin2(x) + 6 sin(x) + 5)/ (sin2(x) - 1) 

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I have a few questions:

How did you get from (sin2(x)+sin(x)+5sin(x)+5)/(sin2(x)-12) to (sin(x)+1sin(x)+5)/(sin(x)+1sin(x)-1)?

I get the other part where you plug in the limit. Thank you again for your help. 

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