# range of x

#### idontknow

Find the range of x such that :
$$\displaystyle e^{-x} H_x > e^{-x^2 }H_{x^2 }\;$$ , $$\displaystyle x\in \mathbb{N}$$.

$$\displaystyle e^{-x} \left( 1+1/2+...+1/x \right) > e^{-x^2 } \left(1+1/2+...+1/x^{2}\right)$$.

Last edited: