Asked by Jenn
Does the series (cos(k/3))^2/2^(k/3)+1 from k=1 to infinity converge?
Answers
Answered by
Steve
since cos(u) < 1,
your terms are less than 1/(2^(k/3)+1)
sum 1/2^(k/3) converges, and your terms are less than 1/2^(k+3), your series converges
your terms are less than 1/(2^(k/3)+1)
sum 1/2^(k/3) converges, and your terms are less than 1/2^(k+3), your series converges
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