Obtain the first $4$ terms in the expansion, in ascending powers of $x$, of \({{\left( 1-4x \rig

Question

Obtain the first $4$ terms in the expansion, in ascending powers of $x$, of ${{\left( 1-4x \right)}^{5}}$. Hence, find the value of ${{\left( 0.96 \right)}^{5}}$ correct to $3$ decimal places.

Accepted Answer

$1-20x+160x^2-640x^3+\cdots$ $0.815$

Maclaurin Series and Power Series - Approximations Using Power Series

Maclaurin Series and Power Series - Approximations Using Power Series

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