_ n → ∞ (1 + 1 + (1)/(2) + + (1)/(n) n ^ 2 ) ^ n is equal to

It is ${1}^{\infty}$ form

L = {e}^{\lim_{n \to \infty}\left(\dfrac{\left1 + \dfrac{1}{2} + \dfrac{1}{3} + \ldots . . + \dfrac{1}{n}\right)}{n}\right)}

$L = {e}^{\lim_{n \to \infty}\left(\dfrac{1}{n} + \dfrac{1}{2n} + \dfrac{1}{3n} + \ldots . . + \dfrac{1}{{n}^{2}}\right)}$

$∴ L = {e}^{\left(0 + 0 + 0 + \ldots . . + 0\right)}$

$⇒ L = {e}^{0} = 1$