Question

If $p > 0$, then $\lim_{n \to \infty} \sqrt[n]{p}$ :

• A. 0
• B. 1
• C. $e$
• D. does not exist.

Hint:

Standard Real Analysis Limits to Remember: 1. $\lim_{n \to \infty} p^{1/n} = 1$ for any $p > 0$. 2. $\lim_{n \to \infty} n^{1/n} = 1$. 3. $\lim_{n \to \infty} (1 + \frac{x}{n})^n = e^x$.

Answer 1

The Correct Option is B