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Question

limnnr=1nn2+r2x2,x>0is equal to :

A
tan1 x
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B
xtan1 x
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C
tan1xx
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D
tan1xx2
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Solution

The correct option is C tan1xx
limnnr=1nn2+r2x2=limnnr=11n(1+(rn)2 x2)=10dt1+t2x2=1x210dt(1x)2+t2=1x2.11/x[tan1(11/x)]10=1xtan1x=tan1xx

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