Page 1 of 1
5. Determine whether the following statements are true or false. If it is true prove it, if it is false give a counterex
Posted: Tue Jun 07, 2022 6:00 am
by answerhappygod
- 5 Determine Whether The Following Statements Are True Or False If It Is True Prove It If It Is False Give A Counterex 1 (46.14 KiB) Viewed 28 times
5. Determine whether the following statements are true or false. If it is true prove it, if it is false give a counterexample. ∞ (a) If Σ|an| is convergent then Σ an is convergent. n=1 n=1 ∞ (b) If an > 0 for all n and an is convergent then Σ(-1)"an is convergent. n=1 n=1 (c) If both San and Σ(-1)"an 'an are convergent then Σan converges absolutely. n=1 n=1 n=1