Expand $\sqrt{\frac{2+x}{1-4x}}$ as a series in ascending powers of $x$ up to and including the

Question

Expand $\sqrt{\frac{2+x}{1-4x}}$ as a series in ascending powers of $x$ up to and including the term in $x^2$. State the range of $x$ for which the expansion is valid.

Accepted Answer

sqrt(2)+9x/(2sqrt(2))+207x^2/(16sqrt(2))+..., valid for |x|<1/4.

Binomial series expansion

Binomial series expansion

Solution:

Solution locked