Suppose that hL D 1 in (33) and that f .x/ is piecewise
Chapter , Problem 14(choose chapter or problem)
Suppose that hL D 1 in (33) and that f .x/ is piecewise smooth. Show that f .x/ D c0x C X1 nD1 cn sin nx L ; where fng 1 1 are the positive roots of tan x D x, and c0 D 3 L3 Z L 0 xf .x/ dx; cn D 2 L sin2 n Z L 0 f .x/sin nx L dx:
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