Let P n=1 an be a POSITIVE infinite series (i.e. an > 0 for all n 1 ). Let f be a continuous function with domain R. Is each of these statements true or false? If it is true, prove it. If it is false, prove it by providing a counterexample and justify that is satisfies the required conditions. 1. If P n=1 (an an 1) is convergent, then P n=1 an is convergent