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Differential Calculus

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10 Feb 2010 12:02:05 IST

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If a and b are two fixed positive integers such that f (a + x) = b + [b3 + 1-3b2 (f (x) + 3b(f (x))2

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If a and b are two fixed positive integers such that f (a + x) = b + [b3 + 1-3b2 (f (x) + 3b(f (x))2-(f (x))3]1/3 for all real x then f (x) is periodic function with period

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Bipin Dubey

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Joined: 23 Jan 2007

Posts: 7749

23 Feb 2010 21:02:26 IST

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Now replace x by x+a :

from (1) and (2) :

so f is periodic with period 2a

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