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S= lim(nrarroo) sum(k=0)^n 1/sqrt(n^2 + ...

S= `lim_(nrarroo) sum_(k=0)^n 1/sqrt(n^2 + k ^2)`

A

does not exist

B

exists and lies in the interval (0,1)

C

exists and lies in the interval [1, 2)

D

exists and lies in the interval [2, `oo`)

Text Solution

Verified by Experts

The correct Answer is:
C
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KVPY PREVIOUS YEAR-QUESTION PAPER 2020-PART-I (MATHEMATICS)
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  13. S= lim(nrarroo) sum(k=0)^n 1/sqrt(n^2 + k ^2)

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  15. Let f(x) = {{:((x)/(sin x) ",",x in "(0,1)"),(1",",x=0):} Consider...

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  17. In a regular 15-sided polygon with all its diagonals drawn, a diagonal...

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