The following function is defined for all
, and
is a positive integer. Prove or provide a counterexample to the following statement.
The convergence of the sequence implies the convergence of the integral
Incomplete.
The following function is defined for all
, and
is a positive integer. Prove or provide a counterexample to the following statement.
The convergence of the sequence implies the convergence of the integral
Incomplete.
Last post got spam filtered. I’ll keep it simple here:
Counterexample.
Counterexample. Let
. Then, for all positive integers
,
diverges.
But