Problem #103

Consider the equation tan x = x. Let xn denote the (unique) root of this equation that lies in the interval ((2n − 1) pi/2, (2n + 1) pi/2). For example, x0 = 0, x1 is approximately 4.49341, and x2 is approximately 7.72525. [Note: In the graph below, the axes are scaled differently.] This month's problem is to evaluate

The solution will be posted shortly.

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