Question: Show that yn < 1 for all n and yn decreases monotonically to 0 as n - > infty . ( A

 Show that yn < 1 for all n and yn decreases monotonically to 0 as n -> infty . (A picture would suffice for this!)

(b) Program the algorithm in a computer and find yn for n = 1, 2, . . . , 30. What happens? Why does this happen?

(c) Derive an algorithm for computing the values of these integrals based on evaluating the value of yn−1 from the value of yn.

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