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)−23Determine 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.
