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Express $\frac{1}{\sqrt{4 + 3x}}$ as a series in ascending powers of $x$, including terms up to $x^2$, and simplify the coefficients.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct unsimplified form of the $x$ or $x^2$ term from the expansion of $(4+3x)^{-\frac12}$ or $(1+\frac34 x)^{-\frac12}$, or differentiating $f(x)=k(4+3x)^{-\frac32}$ and then evaluating $f(0)$ and $f'(0)$.” …
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