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Omni-MATH / For 1≤j≤2014, define b_(j)=j²⁰¹⁴∏_(i=1,i≠j)²⁰¹⁴(i²⁰¹⁴−j²⁰¹⁴) where the product is over all i∈1,…,2014 except i=j. Evaluate (1)/(b₁)+(1)/(b₂)+⋯+(1)/(b₂₀₁₄). · Discussion

Discussing For 1≤j≤2014, define b_(j)=j²⁰¹⁴∏_(i=1,i≠j)²⁰¹⁴(i²⁰¹⁴−j²⁰¹⁴) where the product is over all i∈{1,…,2014} except i=j. Evaluate (1)/(b₁)+(1)/(b₂)+⋯+(1)/(b₂₀₁₄). · Omni-MATH

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