5. Determine whether the following statements are true or false. If it is true prove it, if it is false give a counterex

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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 27 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