What is the Taylor Expansion of:

sin(sinx) at x=0 up to terms of order 3 ?

I know that the Taylor of sin(x) is: x - x^3/3 + ...

But then what is the Taylor of sin(x - x^3/3 + ...) ?

Thanks.

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- December 8th 2009, 07:56 PMjzelltTaylor Expansion
What is the Taylor Expansion of:

sin(sinx) at x=0 up to terms of order 3 ?

I know that the Taylor of sin(x) is: x - x^3/3 + ...

But then what is the Taylor of sin(x - x^3/3 + ...) ?

Thanks. - December 8th 2009, 08:16 PMProve It
- December 9th 2009, 05:44 AMHallsofIvy
The fact that you only need "to order 3" simplifies a lot!