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Evaluate limit by N–L Formula. limn → ∞ (1/√(n^2 + 3rn)) for ∑ ∈ [r = 1,n]

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Evaluate limit by N–L Formula. 

limn → ∞ (1/√(n2 + 3rn)) for ∑ ∈ [r = 1,n]

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= ((2/9) (1 + 3x)3/2) for x ∈ [0,1] 

= (2/9) (8 – 1) 

= 14/9  

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