`1+3/(2+1/(4+5/7))`

The smallest fraction which should be subtracted from the sum of 1 3/4, 2 1/2, 5 7/(12), 3 1/3 and 2 1/4 to make the result a whole number is 5/(12) (b) 7/(12) (c) 1/2 (d) 7

(1)/(2.3)+(1)/(4.5)+(1)/(6.7)+……oo=

If x = (1)/(1.2) + (1)/(3.4) + (1)/(5.6) …….oo, and y = 1 - (1)/(2.3) - (1)/(4.5) - (1)/(6.7)…….oo , then

If x = (1)/(1.2) + (1)/(3.4) + (1)/(5.6) …….oo, and y = 1 - (1)/(2.3) - (1)/(4.5) - (1)/(6.7)…….oo , then

Prove that, 1/(2.3)-1/(4.5)+1/(6.7)+.....=1-log_e2

(1)/(2.3)+(1)/(4.5)+(1)/(6.7)+(1)/(8.9)+...

(1)/(2*3)+(1)/(4*5)+(1)/(6*7)+(1)/(8*9)+......... is equal to