Math 115 practice problems:

\f\f\f\f9. Consider the sequence defined by a, = (-1) +2. Does this sequence converge and, if it does, to what limit?\f\f\f5. We would like to estimate the sum of the series _ng, mayg by using the sum of the first ten terms. Of course, the exact error is the sum of all the terms from the 11th on, i.e., Egg. Show that this error is less than 1/3000 by comparing this with the sum of 1 and then by estimating this latter sum using an appropriate integral.\f\f\fFor each of the following say whether it converges Dr diverges and explain why. an n3