Maclaurin Series and Power Series - Approximations Using Power Series

Maclaurin Series and Power Series - Approximations Using Power Series

IP 4

Find the first three terms in the binomial expansion of \({{\left( 1-8x \right)}^{12}}\). Hence, use the expansion obtained to evaluate \({{\left( 0.992 \right)}^{12}}\), correct to three decimal places.

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Answer:\(1-96x+4224x^2+\cdots\) \(0.908\)

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