The series sums to the value 2 /8. Lagranges formula for linear interpolation is where p

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The series

k=0 1 (2k + 1) = 1+ 1 1 3 5 + + 7 +

sums to the value π2/8. Lagrange’s formula for linear interpolation is

f(x) = By setting x = show that (x-x)f-(x-x).fo X - Xo 1 1 S = 1 + + 3 5 S_~ 1 and f(x) = S, where qSq -

where p and q are integers. Choosing p = 5 and q = 10, estimate the value of π2/8.

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