# 1. A series Can has the property that lim on = 0. Which of the following...

###### Question:

1. A series Can has the property that lim on = 0. Which of the following is true? (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (d) There is not enough information to determine whether the series converges or diverges. 2. A sequence { $m} of partial sums of the series an has the property that lims Which of the following is true? (a) lim an = 0. (b) lim Q. = (e) lim an does not exist. (a) There is no way to determine the value of liman. 1 n 3. The sequence {sn} of partial sums of the series has the property that$ = for every positive integer n. Which of the following is true? (b) lima +0. (c) 43 1 (d) The series is the divergent harmonic series. 1 1 >() +-- 8 4. The series is a geometric series. Which of the following is true? (a) The series is convergent and its sum is less than 1/2. (b) The series is convergent and its sum is 1/2. (e) The series is convergent and its sum is 2/3. (a) The series is convergent and its sum is more than 2/3. 5. For positive numbers a and r, it is known that the geometric series and is divergent. Which of the following is true? (a) 5-1. (b) -1 <r<l. (e) ? 21. (a) r2 a.