Mark McKinzie

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It is tempting to try to reprove Euler’s famous result that ∑ 1/k2 = π2/6 using power series methods of the sort taught in calculus 2. This leads to ∫ 1 0 − ln(1−t) t dt , the evaluation of which presents an obstacle. With two key identities the obstacle is overcome, proving the desired result. And who discovered the requisite identities? Euler! Whether he(More)
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