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series convergence

Name: Anonymous 2007-01-19 4:21

hi /sci/!

can someone show me how I can prove if the series cos[n(pi)] converges or diverges, for n[1,inf)?

thanks

Name: Anonymous 2007-01-19 8:03

it diverges because cos(n*pi) doesn't converge to 0.

it's called cauchy's criterion or something. look it up.

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