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Expand $\sqrt{\frac{1 + 2x}{1 - 2x}}$ as a series in ascending powers of $x$, up to and including the term in $x^2$, and simplify the coefficients.
Mathematics 9709 · AS & A Level · Algebra
Expand $\sqrt{\frac{1 + 2x}{1 - 2x}}$ as a series in ascending powers of $x$, up to and including the term in $x^2$, and simplify the coefficients.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State one correct un-simplified term in $x$ or $x^2$ from the expansion of either $(1+2x)^{\frac12}$ or $(1-2x)^{\frac12}$” …