MATH 138 ASSIGNMENT 7 Due at 6pm on Friday March 9th
1. Determine if the following series are convergent or divergent. State what test you’re using in each case
(DO NOT USE THE RATIO TEST ON THESE QUESTIONS).
2. Determine if the following series are convergent or divergent. State what test you’re using in each case
(DO NOT USE THE RATIO TEST ON THESE QUESTIONS).
3. In each case, determine all values of p2R so that the given series converges.
5. Prove or disprove (that is, provide a counterexample to) the following statements.
(a) If ak6= 0 for all k and
(d) If an > 0 and Pan is convergent then Pln(1 +an) is convergent.
(e) If Pa2n is a convergent series, and an > 0 for all n, then Pan is also convergent.
(f) If Pan is a convergent series with positive terms, then Pa2n is also convergent.