Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 7 Exercise 7.3

Solution:

(a) Converges. Limits is 1.

(b) Converges. Limits is 1.

(c) Converges. Limits is 0.

(d) Converges. Limits is 1.

(e) Diverges.

(f) Converges. Limits is 1.

(g) Diverges.

(h) Diverges.

(i) Converges. Limits is 1.

(j) Converges. Limits is 7/2.

(k) Diverges.

(l) Diverges.

(m) Converges. Limits is 0.

(n) Diverges.

(o) Converges. Limits is 0.

(p) Converges. Limits is 2.

(q) Converges. Limits is 0.

(r) Converges. Limits is 1.

(s) Converges. Limits is 4/3.

(t) Converges. Limits is 0.