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TO 2. Now consider the series V8(4n)!(1103 + 26390n) This series was discovered by the extraordinary Indian 9801 - 3964n
Posted: Mon Apr 11, 2022 6:02 am
by answerhappygod
- To 2 Now Consider The Series V8 4n 1103 26390n This Series Was Discovered By The Extraordinary Indian 9801 3964n 1 (29.28 KiB) Viewed 40 times
TO 2. Now consider the series V8(4n)!(1103 + 26390n) This series was discovered by the extraordinary Indian 9801 - 3964n (n!) mathematician Srinivasa Ramanujan (1887-1920). This series converges to (You do NOT need to prove that, and it is much more difficult than finding the sum of the series in problem 1.) This series has been used to compute i to over 17 million digits (which was a world record at the time). V8(4n)!(1103 + 26390n) (a) (3 marks) Use any test for convergence/divergence to show that the series 9801-3964n (n!) converges V8(4n)|(1103 +26390n) (b) (2 marks) The partial sums for this series are 9801_3964n (nl) Use a calculator to evaluates and 3, and write down as many digits as your calculator can display. How many digits are the same as the digits of ? Note: 3.1415926535 8979323846 2643383279... 0