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Binomial Expansion

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Question 80

The binomial expansion of

14+x \frac{1}{\sqrt{4+x}} 4+x​1​

is to be used for the three values x=−1x=-1x=−1, x=2x=2x=2 and x=3x=3x=3.

Without evaluating your expansion, state, giving a reason, which of the three values of x x\,x would lead to the most accurate approximation when the expansion is used to find the corresponding value of

14+x \frac{1}{\sqrt{4+x}} 4+x​1​
[1]
Markscheme

Binomial Expansion Questions

  1. A Level
  2. /Maths
  3. /Binomial Expansion

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.

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