Concept explainers
Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula
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
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Chapter 11 Solutions
Calculus (MindTap Course List)
- Show that if the statement 1+2+3+...+n=n(n+1)2+2 is assumed to be true for n=k, the same equation can be proved to be true for n=k+1. Explain why this does not prove that the statement is true for all positive integers. Is the statement true for all positive integers? Why?arrow_forwardFind three positive geometric means between 2 and 8arrow_forwardThe number of ways of arranging r objects form n objects in order is called the number of ______________ of n objects taken r at a time and is given by the formula P(n,r)=__________________.arrow_forward
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