Projected learning outcomes: Attempt to interpret and understand theorems regarding conti-nuity and limits to infinity. Specifically, one useful purpose for theorems proving that functions arecontinuous is to justify "plugging in" the number is approaching in the expression one wishes totake the limit ofProblems1. Use and cite the continuity theorems presented in lecture to find and justify the limitlim esin(r)2х—0

Question
Asked Oct 13, 2019
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Hi I need some help with this continuity problem

Please cite the continuity theorems

thank you

Projected learning outcomes: Attempt to interpret and understand theorems regarding conti-
nuity and limits to infinity. Specifically, one useful purpose for theorems proving that functions are
continuous is to justify "plugging in" the number is approaching in the expression one wishes to
take the limit of
Problems
1. Use and cite the continuity theorems presented in lecture to find and justify the limit
lim esin(r)
2
х—0
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Projected learning outcomes: Attempt to interpret and understand theorems regarding conti- nuity and limits to infinity. Specifically, one useful purpose for theorems proving that functions are continuous is to justify "plugging in" the number is approaching in the expression one wishes to take the limit of Problems 1. Use and cite the continuity theorems presented in lecture to find and justify the limit lim esin(r) 2 х—0

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Expert Answer

Step 1

Given:

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sinx x0 x- 2

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Step 2

Put the value o...

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lim e sin x x - 2 x0 lim x0 2 lim e sinx x0 02 sin(0) = e 0-2 sin 0 = 0] = e° =1+0 =1

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Tagged in

Math

Calculus

Continuity