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lim(n rarr oo) (1)/(n^(3)) sum(r = 1)^(n...

`lim_(n rarr oo) (1)/(n^(3)) sum_(r = 1)^(n) r^(2)` is :

A

(1/3)

B

(1/2)

C

(1/4)

D

(1/5)

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The correct Answer is:
A
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  2. lim(n rarr oo) [2/3 + (2/3)^(2) + (2/3)^(2)+.....+(2/3)^(n)] =

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  3. lim(n rarr oo) (1)/(n^(3)) sum(r = 1)^(n) r^(2) is :

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  4. lim(x rarr oo) (1)/(n^(4)) sum(r = 1)^(n) r^(3) is :

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  5. lim(n rarr oo) ((1)/(1.2) + (1)/(2.3) + (1)/(3.4) +…..+ (1)/(n(n+1))) ...

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  6. lim(n rarr oo) 1/n^(3) { 1+3+6+...+ (n(n+1))/2} =

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