Consider the series which is known to be convergent and to equal Ï 2 /6 = 1.64993

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Consider the series

1 1 s = 1+ 22 + 32 42 n2

which is known to be convergent and to equal Ï€2/6 = 1.64993 · · ·. Using Eq. (10.5) as an approximation, determine which partial sum approximates the series to
(a) 1%.
(b) 0.001%.

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