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in Limit, continuity and differentiability by (54.9k points)

For each t ∈ R let [t] be the greatest integer less than or equal  to t. Then lim(x 0+) x[(1/x) + (2/x) + .... + (15/x)]

(A) is equal to 15. 

(B) is equal to 120. 

(C) does not exist (in R). 

(D) is equal to 0.

1 Answer

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by (52.6k points)
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Best answer

Answer is (B) is equal to 120.

The given limit is

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