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# Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula 1 2s2

ISBN: 9781305270336 484

## Solution for problem 50 Chapter 11.6

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 50

Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula 1 2s2 9801 o ` n0 s4nd!s1103 1 26390nd sn!d 4 3964n William Gosper used this series in 1985 to compute the first 17 million digits of . (a) Verify that the series is convergent. (b) How many correct decimal places of do you get if you use just the first term of the series? What if you use two terms?

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Anna Frazier Tuesday, January 26, 2016 Chapter 3 Evolution: The Source of Earth’s Biodiversity - Species: a population or group of populations whose members share characteristics and can freely breed with one another to produce fertile offspring - Population: a group of individuals of a given species that live in a particular region at a particular time - Evolution: change in populations of organisms from generation to generation - Natural selection: inheriting characteristics that enhance survival and reproduction are passed on more frequently to future generations than characteristics that do not, thereby altering the genetic makeup of populations through time • Charles Darwin and Alfred Russell Wallace: ﬁrst prop

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