Question 3
Determine whether the sequence $a_n = \sqrt{n+1} - \sqrt{n}$, $n \ge 1$, converges or diverges. If it converges, find the limit.
Converges, limit is 0.
Converges, limit is 1.
Diverges.
Converges, limit is 2.
Question 4
Determine whether the series $\sum_{n=0}^{\infty} (\cos 1)^n$ is convergent or divergent. If it is convergent, find its sum.
Not possible to determine.
Divergent.
Convergent, limit is $\frac{1}{1 - \cos 1}$.
Convergent, limit is $\frac{\cos 1}{1 - \cos 1}$.
5 pts
5 pts