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sin(x) Comment - Knowing that the limit lim-0 = 1 means that for a reason- ably small interval of inputs around 0, sin(x) behaves almost linearly and we can say that sin(x) - x.Verify using desmos to plot both function and find an esti- mate for what this range of value seems to be.

sin(x) Comment - Knowing that the limit lim-0 = 1 means that for a reason- ably small interval of inputs around 0, sin(x) behaves almost linearly and we can say that sin(x) - x.Verify using desmos to plot both function and find an esti- mate for what this range of value seems to be.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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sin(x) 5. Comment - Knowing that the limit lim,→0 = 1 means that for a reason- ably small interval of inputs around 0, sin(x) behaves almost linearly and we can say that sin(x) - x.Verify using desmos to plot both function and find an esti- mate for what this range of value seems to be.
Transcribed Image Text:sin(x) 5. Comment - Knowing that the limit lim,→0 = 1 means that for a reason- ably small interval of inputs around 0, sin(x) behaves almost linearly and we can say that sin(x) - x.Verify using desmos to plot both function and find an esti- mate for what this range of value seems to be.
Expert Solution
Step 1

Given that: limx→0sinxx=1

Or, sinx≈x,  for  x→0.

 

We have to verify using Desmos to plot both function and find an estimate for what this range of values seems to be.

 

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