Question

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

          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

Question 3
Determine whether the sequence an = √(n+1) - √(n), n ≥ 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 ∑n=0^∞ (cos 1)^n is convergent or divergent. If it is convergent, find its sum.
Not possible to determine.
Divergent.
Convergent, limit is (1)/(1 - cos 1).
Convergent, limit is (cos 1)/(1 - cos 1).
5 pts
5 pts

Added by Brian M.

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