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Q.

limn←∞1n+n(n+1)2+n(n+2)2+........+n(2n−1)2=

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a

14

b

12

c

1

d

13

answer is B.

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Detailed Solution

Ltn→∞1n+n(n+1)2+n(n+2)2.......n(2n−1)2=Ltn→∞1n∑r=1n11+rn2=∫011(1+x)2dx=−11+x01=−12+1=12
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