Show that lim((cos pix)^{2n}) exists for all x in R ?

I figured that the limit will be 1 when x belongs to Z and 0 otherwise.

But how can i show that the limit actually exists?

Help will be appreciated.

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- March 11th 2013, 12:00 AMmrmaaza123sequences of functions
Show that lim((cos pix)

^{2n}) exists for all x in R ?

I figured that the limit will be 1 when x belongs to Z and 0 otherwise.

But how can i show that the limit actually exists?

Help will be appreciated. - March 11th 2013, 05:24 AMPlatoRe: sequences of functions