Expand ${{\left( 1-2x \right)}^{8}}$ in ascending powers of $x$, up to and including the term \(

Question

Expand ${{\left( 1-2x \right)}^{8}}$ in ascending powers of $x$, up to and including the term ${{x}^{3}}$. Hence, evaluate ${{\left( 0.96 \right)}^{8}}$, correct to $3$ decimal places.

Accepted Answer

$1-16x+112x^2-448x^3+\cdots$ $0.721$

Maclaurin Series and Power Series - Approximations Using Power Series

Maclaurin Series and Power Series - Approximations Using Power Series

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