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In this assignment we look at a function f(x) which is stated to be continuous and differentiable. We also state that ? the function is

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In this assignment we look at a function f(x) which is stated to be continuous and differentiable.

We also state that

? the function is odd, that is f(?x) = ?f(x),

? the function is periodic with period 2?, that is f(x + 2?) = f(x),

? ?(?) ? 0 for 0 ? ? ? ?,

? ?(?/2) = 1,

??0???(?) ?? = 2.

Then calculate:

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