<ol class="i-list"><li data-list-item-id="imported-item-block-0-item-0" data-list-item-path="imported-item-block-0-item-0"><div class="list-item-paragraph">By successively differentiating \((1+x)^n\), find the Maclaurin's series for&nbsp;\((1+x)^n\), up to and including the term in \(x^3\).<span class="inline-marks">[3]</span></div></li><li data-list-item-id="imported-item-block-0-item-1" data-list-item-path="imported-item-block-0-item-1"><div class="list-item-paragraph">Obtain the expansion of \((4-x)^{\frac{5}{2}}(1+2x^2)^{\frac{3}{2}}\) up to and including the term in \(x^3\).<span class="inline-marks">[5]</span></div></li><li data-list-item-id="imported-item-block-0-item-2" data-list-item-path="imported-item-block-0-item-2"><div class="list-item-paragraph">Find the set of values of \(x\) for which the expansion in part <strong>(ii)</strong> is valid.<span class="inline-marks">[2]</span></div></li></ol>

By successively differentiating \((1+x)^n\), find the Maclaurin's series for \((1+x)^n\), up to and including the term in \(x^3\).

Obtain the expansion of \((4-x)^{\frac{5}{2}}(1+2x^2)^{\frac{3}{2}}\) up to and including the term in \(x^3\).

Find the set of values of \(x\) for which the expansion in part **(ii)** is valid.

2021 TGM P1 Q6

2021 TGM P1 Q6

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