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# Binomial expansion question watch

1. Find the expansion of 1 / 1-(x+x^2) in ascending powers up x up to and including the term in x^4.

By substitution of a suitable value of x, find the approximation, correct to twelve decimal places, of 1 / 0.998999

Thanks
Find the expansion of 1 / 1-(x+x^2) in ascending powers up x up to and including the term in x^4.

By substitution of a suitable value of x, find the approximation, correct to twelve decimal places, of 1 / 0.998999

1/(1 - y) = 1 + y + y^2 + y^3 + y^4 + ... .

Replace y by x + x^2 and multiply out, discarding every power of x about the fourth.

Substitute x = 1/1000 for the last part.

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Updated: August 12, 2004
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