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Q.

limn→∞n2(1−cos1n)(1−cos1n)(1−cos1n)... to ∞ equals

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a

14

b

12

c

1

d

0

answer is B.

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Detailed Solution

Ltn→∞n2(1−cos1n)(1−cos1n).....∞y=(1−cos1n)(1−cos1n).....∞y2=(1−cos1n)y⇒y=1−cos1nLtn→∞n2(1−cos1n)=Lt1n→01−cos1n(1n)2=12
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