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(1)/(17)*(1)/((1times2))+(1)/((2times3))...

(1)/(17)*(1)/((1times2))+(1)/((2times3))+(1)/((3times4))+..." to "n" terms "

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[(1)/(1times2)+(1)/(2times3)+(1)/(3times4)+......+(1)/(99times100)] =

lim_(x->oo) [(1)/(1times2)+(1)/(2times3)+(1)/(3times4)+.....+(1)/(n(n+1))]

Evaluate the value 3^((1)/(2))times3^((1)/(4))times3^((1)/(3)) ........ .Infinite terms

(2^(-1)times3^(-1))+4^(-1)

Find the sum (3)/(1xx2)xx(1)/(2)+(4)/(2xx3)xx((1)/(2))^(2)+(5)/(3xx4)xx((1)/(2))^(2)+... to n terms.

(((-2)/(3))^(-2))^(3)times((1)/(3))^(-4)times3^(-1)times(1)/(6)

((1)/(3)times(2)/(9))/((1)/(3)times(1)/(5)+(1)/(3)times(1)/(3)+(1)/(3)times(2)/(9))

Evaluate : 1/4 times 1/3 times 1/2 times 4/3

((4)/(9))^(-2)times((1)/(4))^(-2)times(1)/(3^(-2))times((17)/(18))^(0)