Obtain the first $4$ terms in the expansion, in ascending powers of $x$, of \({{\left( 1-3x \rig

Question

Obtain the first $4$ terms in the expansion, in ascending powers of $x$, of ${{\left( 1-3x \right)}^{6}}$. Hence, find the value of ${{\left( 0.97 \right)}^{6}}$ correct to $3$ decimal places.

Accepted Answer

$1-18x+135x^2-540x^3+\cdots$; $(0.97)^6\approx0.833$ (3 d.p.).

Maclaurin Series and Power Series - Approximations Using Power Series

Maclaurin Series and Power Series - Approximations Using Power Series

Video Solution:

Solution:

Solution locked