यदि `y=1/4+1.3/4.8+(1.3.5)/(4.8.12)+...oo` पदों तक, तो सिद्ध कीजिए की `y^(2)+2y-1=0`.

The sum of 1+1/4+(1.3)/(4.8)+(1.3.5)/(4.8.12)+.........oo is

Show that + 1/4 + (1.3)/(4.8) + (1.3.5)/(4.8.12) + …….= sqrt2

Show that + 1/4 + (1.3)/(4.8) + (1.3.5)/(4.8.12) + …….= sqrt2

(0.5y+4)/(1.2y+8)=5/8

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

(1)/(2.4)+(1.3)/(2.4.6)+(1.3.5)/(2.4.6.8)+(1.3.5.7)/(2.4.6.8*10)+....oo is equal to

1+ (1) / (4) + (1) / (4) (3) / (8) + (1) / (4) (3) / (8) (5) / (12) + ... . + oo