Suppose that the interval 0t3 is divided into
Chapter 6, Problem 61(choose chapter or problem)
Suppose that the interval 0t3 is divided into 1000subintervals of width t.Lett1,t2,...,t1000denote theright endpoints of these subintervals. If we need to esti-mate the sum5000e.1t1t+ 5000e.1t2t++ 5000e.1t1000t,show that this sum is close to 13,000. [Note:Asumsuchasthis would arise if we wanted to compute the present valueof a continuous stream of income of $5000 per year for3 years, with interest compounded continuously at 10%.]
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