Maclaurin's expansion

2012-12-02 4:55 am
Expand sin(x)sin(2x) as far as the term in x^(3)

I want to know the FASTEST method.

Please show the steps.

Thank you very much!!!

回答 (1)

2012-12-02 6:11 am
✔ 最佳答案
sin x = x - x^3/3! + x^5/5! - ....

sin 2x = 2x - (2x)^3/3! + (2x)^5/5! - ...

sin x * sin 2x

= (x - x^3/3! + x^5/5! - ...)(2x - (2x)^3/3! + (2x)^5/5! - ...)

= 2x^2 (as far as the term in x^3)


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