Find the first three terms, in ascending powers of xxx, of the binomial expansion of
34+x \frac{3}{\sqrt{4+x}} 4+x3giving each coefficient in its simplest form.
Without evaluating your expansion, state, giving a reason, which of the three values x=−2x=-2x=−2, x=1/2x=1/2x=1/2 and x=14x=14x=14 should not be used.
Without evaluating your expansion, state, giving a reason, which of the three values x=−2x=-2x=−2, x=1/2x=1/2x=1/2 and x=14x=14x=14 would lead to the most accurate approximation to 2\sqrt{2}2
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.