Compute the limit (if exists):

lim n

nsin1 n.

2. Does the following series converge:

X n=1

sin1 n?

3. Does the following series converge:

X n=1

n! en

4. Estimate the magnitude of the error if the the sum of the rst 99 terms are used to approximate the sum of the following series:

X n=1

(1)n+1

lnn n

1. Compute the limit. [if exists]: 2. Does the following series oonverge: 3. Does the following series converge: 4. Estimate the magnitude of the error if the the sum of the rst 99 terms are used to approximate the sum of the following series: m \"H lu-u. {1} E