2. (20 points) Define f(x) = x² on [0,1]. Let h be the odd extension of f to the whole line (-∞, ∞). (a) (4 points) Write out the formula of h on [-1,1]. (b) (6 points) Sketch the graph of h on the interval [−3,3]. (c) (10 points) Find a sine series representation for ƒ on (0,1).

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