Lesson 1, Topic 1
In Progress

Pg 12 Q1 – 2015 MI Q3

(i)

Expand $$\frac{\sqrt[4]{1+3{{x}^{2}}}}{2+x}$$ in ascending powers of $$x$$, up to and including the term in $${{x}^{2}}$$.

[3]

(ii)

Find the set of values of $$x$$ for which the expansion in part (i) is valid.

[2]

(iii)

By substituting $$x=-\frac{1}{4}$$ and using your result in part (i), show that $$\sqrt[4]{19}\approx \frac{p}{q}$$, where $$p$$ and $$q$$ are integers to be determined.

[2]