<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 \(\ln(3-x)\), find the Maclaurin's series for&nbsp;\(\ln(3-x)\), 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"><p>Using appropriate expansion from the List of Formulae <strong>(MF27)</strong>, verify the correctness of the series found in <strong>(i)</strong>.</p><span class="inline-marks">[2]</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 Maclaurin's series for&nbsp;\(\sqrt{1-2x}[\ln(3-x)]\) up to and include the term in \(x^3\).<span class="inline-marks">[3]</span></div></li><li data-list-item-id="imported-item-block-0-item-3" data-list-item-path="imported-item-block-0-item-3"><div class="list-item-paragraph"><p>Find the set of values of \(x\) for which the expansion in part <strong>(iii)</strong> is valid.</p><span class="inline-marks">[2]</span></div></li></ol>

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

<p>Using appropriate expansion from the List of Formulae <strong>(MF27)</strong>, verify the correctness of the series found in <strong>(i)</strong>.</p>

Find the Maclaurin's series for \(\sqrt{1-2x}[\ln(3-x)]\) up to and include the term in \(x^3\).

<p>Find the set of values of \(x\) for which the expansion in part <strong>(iii)</strong> is valid.</p>

2022 TGM P1 Q3

2022 TGM P1 Q3

Video Solution:

Solution:

Solution locked