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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 2013-01-01 06:45:07

jacks
Member
Registered: 2012-11-21
Posts: 80

function

Let f(x) is even, periodic function with period is 2 and f(x) = x forall x E [0,1]. Then f(pi) =

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#2 2013-01-01 07:15:20

scientia
Member
Registered: 2009-11-13
Posts: 222

Re: function

since f is even.

Thus, since f has period 2,

.

From here you should be able to work out what

is for
.

Last edited by scientia (2013-01-01 07:17:10)

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