Nneetquant
Get started

x^4 coefficient of a composed series

MediumCalculus~4m

What is the coefficient of x4x^4 in the Maclaurin series of f(x)=e−x2cos⁡xf(x)=e^{-x^2}\cos x? (to 4 decimals)

Show hints (2)+
  1. Expand e−x2e^{-x^2} and cos⁡x\cos x each to order x4x^4, then multiply.
  2. Collect all pairs of terms whose degrees add to 4.

Answer

Reveal answer →

1.0417 (± 0.0005)

Create a free account to see the full worked solution and track your progress.

Create a free account

Interview format: Hedge Fund Quant, Systematic & Data-Driven Trading

Related questions