A theoretical model for the refractive index μ\muμ of a specialized optical glass depends on the incident light wavelength λ\lambdaλ according to the relation μ(λ)=(1625+25λ)−32\mu(\lambda) = \left( \frac{16}{25} + \frac{2}{5}\lambda \right)^{-\frac{3}{2}}μ(λ)=(2516+52λ)−23
Determine the range of values of λ\lambdaλ for which the binomial expansion of μ(λ)\mu(\lambda)μ(λ) in ascending powers of λ\lambdaλ is valid.
Practise Edexcel A Level Maths Binomial Expansion with exam-style questions for A Level Maths. 100 questions covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.