Find the first three terms, in ascending powers of xxx, of the binomial expansion of
112+x \frac{1}{\sqrt{\frac{1}{2}+x}} 21+x1giving each coefficient in its simplest form.
Without evaluating your expansion, state, giving a reason, which of the three values of xxx, −16\displaystyle -\frac{1}{6}−61, 14\displaystyle \frac{1}{4}41 and 23\displaystyle \frac{2}{3}32, should not be used.
Without evaluating your expansion, state, giving a reason, which of the three values of xxx, −16\displaystyle -\frac{1}{6}−61, 14\displaystyle \frac{1}{4}41 and 23\displaystyle \frac{2}{3}32, would lead to the most accurate approximation to 3\sqrt{3}3
408 exam-style questions on Edexcel A Level Maths Binomial Expansion, covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions. Each one has a worked solution and a mark scheme showing where the marks go.