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kabi (1665)

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2 . lim ( n --> infty) (1/n) [ ( 1/ n+1) + (2 / n+2) + .......... + (3n/4n) ]

=lim ( n --> infty) (1/n) (1/(n+1) +1/(n/2 +1)+....................+1/(n/3n+1) ]

= lim ( n --> infty) (1/n) sigma ( r from 1 to 3n ) [ 1/(n/r +1) ]

= integration ( 0 to 3 ) x / (x+1) dx ( put r/n =x )

=x - log (x+1)

after putting limits

=3-log(4)

thank u

The time u guys take to find the derivative of a function or for finding the equilibrium constant of a reaction or for finding the angle of dispersion of prism or for standing from ur seat to congratulate our team after their win almost in that time one kid die because of poverty.

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