Evaluating Limit: Sin(x + Sin x) at x=π

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Homework Help Overview

The problem involves evaluating the limit of the function sin(x + sin x) as x approaches π, with a focus on continuity and the behavior of the function at that point.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the continuity of the function and its implications for evaluating the limit. Questions about the definition of continuity and the evaluation process are raised, along with attempts to substitute π into the function.

Discussion Status

There is an ongoing exploration of the function's continuity and its evaluation at π. Some participants express confusion regarding the calculations and the implications of using degrees versus radians.

Contextual Notes

Participants note potential issues with the calculation method, particularly regarding the angle measurement in degrees versus radians, which may affect the evaluation of the limit.

powp
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Hello

can someone help me with this question??

Use continuity to evaluate the limit:

lim x->PI Sin(x + Sin x)

Please!

thanks
 
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a) Is that function continuous?
b) What is definition of continuity?
Combine the two and the answer is trivial.
 
I believe that this function is continus within its domain because it is a algebaric and trig function.

But where do I go from here. If I plug Pi into the function I get 0.00
 
sorry I get 0.05575
 
powp said:
sorry I get 0.05575

What is [itex]\sin \pi[/itex]? I think you'll find your calc is in degrees not radians.
 
Let f(x)=x+sin(x), and let g(x)=sin(x). What is g(f(x))?
 

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