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From: Phobos99 on 16 Jul 2010 10:36
Hi I'm trying to solve this problem for a long time now, so if you
could help, I would appreciate it.

F:c_0->c_0
F({x_n})=(cos(n*x_n))/n

I know, that gateaux derivative (in direction {y_n}) is {(-
sin(n*x_n))y_n}, but I can't proof anything about the Frechete
derivative (which I think doesn't exist)

c_0 is a space of sequences with 0 limit in infinity with maximum
(=supremum) norm
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