Zero solvers challenge 2

Calculus Level 5

f(x)=exx3 \large f(x) = \dfrac{e^{x}}{x^3}

If the 100th100^\text{th} derivative of f(x)f(x) at x=1x=1 is equal to ke2\dfrac{ke}{2} for some integer kk, find kk.

Notation: e2.71828e \approx 2.71828 denotes the Euler's number.

×

Problem Loading...

Note Loading...

Set Loading...