lim-x-0-1-x-n-1-1-x-x-2-x-n-n-1-x-x-2-x-n-n-1-x-x-2-x-n-1-n-1-1-x-x-2-x-n-1-n-1-

Question Number 162926 by qaz last updated on 02/Jan/22

\lim_{x \to 0} \frac{1}{x^{n + 1}} [{(1 + x + \frac{x}{2} + \dots + \frac{x^{n}}{n})}^{\frac{1}{x + \frac{x}{2} + \dots + \frac{x^{n}}{n}}} - {(1 + x + \frac{x}{2} + \dots + \frac{x^{n + 1}}{n + 1})}^{\frac{1}{x + \frac{x}{2} + \dots + \frac{x^{n + 1}}{n + 1}}}] = ?