Determine whether these three statements are true or false.

If the statement is true, then write a proof. If the statement is false, prove its negation, if you provide a counterexample, you need to prove that it is in fact a counterexample.

Please, put some details as much as you can.

IF f is a continuous function on [1, co) and 2:1 f(n) converges, THEN [10 f (m)dx converges. IF {an }no and {on )no are sequences of positive real numbers such that an