homework2 - HISTORY OF MATHEMATICS HOMEWORK 2 1 3.2.1[Hint...

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Unformatted text preview: HISTORY OF MATHEMATICS HOMEWORK 2 1. 3.2.1 [Hint: The second example from lecture 4 may help you.] 2. 3.2.4 3. 3.2.6 4. 3.2.8 5. 3.3.4 6. 3.3.6 7. 3.3.9 [Note: Just do the proof for 8. 3.3.11 9. 4.3.15 10. 2.4.2 11. 2.4.3 12. The remarkable Indian mathematician Srinivasa Ramanujan (1887‐1920) (see pages 718‐721) developed fifteen infinite series approximations for pi, one being Use a calculator (your own may not be good enough), and the decimal expansion for pi (easily found online), to check how many digits this formula is accurate to in the case where k = 0 and k = 1. ...
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