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Write a scala program that computes (pi) using the Gregory-Leibniz (GL) series: ((-1) n /2n+1) = 11/3+1/51/7+...= /4 n=0 As n , the estimate of

Write a scala program that computes (pi) using the Gregory-Leibniz (GL) series:

((-1)n/2n+1) = 11/3+1/51/7+...= /4

n=0

As n , the estimate of becomes increasingly accurate.

1. Use functional style, that is, higher-order functions and val-types ONLY; no vars and no

while-loops. (consider foldLeft function)

2. Output the estimate for for as many digits as possible.

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