Sequence Convergence (easy) and fourier series question
Does the sequence (-0.3)^x converge or diverge?
This is a pretty easy problem I believe, sorry if it's a stupid question. The limit as n approaches infinity is 0, but it is alternating. I have not had a problem that alternates. As long as the limit as n goes to infinity is 0, we have convergence correct?
I then have this Fourier series question
I was given the hint to use the trapezoidal rule for this question.
Re: Sequence Convergence (easy) and fourier series question
I don't know anything about Fourier series yet so I can't answer that question, but I can tell you that your sequence converges. For a sequence, if the limit as n approaches infinity exists as a real number than the sequence converges. Zero is a real number so your sequence does converge.