`1/3xx1/4xx1/3xx1/3`

(1/3xx1/5)/(1/3xx1/5+1/3xx1/6+1/3xx1/7)

Prove that: 3^(1/2)xx3^(1/4)xx3^(1/8)xx...=3

1+1/4 + (1xx3)/(4xx8) + (1xx3xx5)/(4xx8xx12) + "….." is equal to

Find the sum 3/(1xx2)xx1/2+4/(2xx3)xx(1/2)^2+5/(3xx4)xx(1/2)^2+ ton terms.

Find the sum to n terms of the series : 1/(1xx2)+1/(2xx3)+1/(3xx4)+dotdotdot

1+1/3x+(1xx4)/(3xx6)x^2+(1xx4xx7)/(3xx6xx9)x^3+ ------ is equal to a. x b. (1+x)^(1//3) c. (1-x)^(1//3) d. (1-x)^(-1//3)

Find the sum of infinite series (1)/(1xx3xx5)+(1)/(3xx5xx7)+(1)/(5xx7xx9)+….

1/2+1/3xx1/3-:2/3-1/2xx[1/3+{1/2-(2/3+1/2+1/3)}]

Solve the following :- (i) 2xx4xx5 (ii) 9xx3xx4 (iii) 6xx(1)/(5)xx125 (iv) 15xx6xx(1)/(10) (v) 3xx4xx(1)/(16)xx15 (vi) 20xx10xx(1)/(500)

If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/(9xx11)+ is pi//8 b. pi//6 c. pi//4 d. pi//36