Set 10

1. (Rudin Ch. 6) #8
2. (Rudin Ch. 6) #16.
3. Problems X114
4. Problems X115
5. Problems X122
6. Prove that: Let k and p denote a natural numbers.

(a) the limit as x approaches infinity of log(x)/x equals 0;

(b) obtain lower bounds on e^{kx}/x^p and show that e^{kx}/x^p converges to infinity as x approaches infinity.