Question

Let \(a_n=\frac{1}{n^2}\) be a sequence of real numbers. Then the sequence is:

• A. Convergent and limit is 1
• B. Convergent and limit is 0
• C. Divergent
• D. Convergent and limits are 0 and 1

Hint:

For any positive real number \( p > 0 \):
\[ \lim_{n \to \infty} \frac{1}{n^p} = 0 \]
Thus, all such sequences are convergent and converge to 0.

Answer 1

The Correct Option is B