Consider the equation tan *x* = *x*. Let *x*_{n}
denote the (unique) root of this equation that lies in the interval
((2*n* − 1) pi/2, (2*n* + 1) pi/2). For example,
*x*_{0} = 0, *x*_{1} is approximately 4.49341, and
*x*_{2} 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.
**

Back to the Advanced Problem Archives

Back to the Math Department Homepage.