Question

Explain me, please.

Answer 1

for a decreasing sequence bn that summation converges

Answer 2

is it dirichlet?

Answer 3

Those are what my prof did in class.

Answer 4

The red parts are my explanation on the lecture so that I remember what is going on when reviewing for test. :)

Answer 5

it is still downloading, its going very slow

Answer 6

dan!!

Answer 7

ok hmm i see

Answer 8

lets take cos(ntheta)= Real part of {e^(itheta)}

Answer 9

what they are using as their argument is that hey look just like how an alternating sequence of (-1)^n multiplied by a decreasing series goes to 0, this also does the same thing

Answer 10

because for any thetea u pick, for varying n, you keep getting some number of positive and some number of negatives , both equal to each other, tho the addition of this decreasing bn sequences works slightly differently

Answer 11

but you can still definately show that you will be subtracting greater part than what u are adding in the next set

Answer 12

here is a picture to help you see