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Omni-MATH / Let t_(n) equal the integer closest to √(n). What is the sum (1)/(t₁)+(1)/(t₂)+(1)/(t₃)+(1)/(t₄)+⋯+(1)/(t₂₀₀₈)+(1)/(t₂₀₀₉)+(1)/(t₂₀₁₀)? · Discussion

Discussing Let t_(n) equal the integer closest to √(n). What is the sum (1)/(t₁)+(1)/(t₂)+(1)/(t₃)+(1)/(t₄)+⋯+(1)/(t₂₀₀₈)+(1)/(t₂₀₀₉)+(1)/(t₂₀₁₀)? · Omni-MATH

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