Calculus

By the integral test, the infinite Riemann zeta series $\sum_{n=1}^\infty \frac{1}{n^p}$ converges if and only if the real exponent $p$ satisfies:

Options:

• (A) $p > 1$
• (B) $p \ge 1$
• (C) $p < 1$
• (D) $p > 0$