Home
Class 11
MATHS
अनंत पदों तक जोड़िए 1/5-1/7+1/5^(2)-1/7...

अनंत पदों तक जोड़िए
`1/5-1/7+1/5^(2)-1/7^(2)+1/5^(3)-1/7^(3)+...`

Promotional Banner

Similar Questions

Explore conceptually related problems

Simplify 7^(1/5)/7^(1/3)

2[7^(-1)+3^(-1)7^(-3)+5^(-1)7^(-5)+…]=

(1)/(2)((1)/(5)+(1)/(7))-(1)/(4)((1)/(5^(2))+(1)/(7^(2)))+(1)/(6)((1)/(5^(3))+(1)/(7^(3)))-….oo=

(1)/(2)((1)/(5)+(1)/(7))-(1)/(4)((1)/(5^(2))+(1)/(7^(2)))+(1)/(6)((1)/(5^(3))+(1)/(7^(3)))-….oo=

1+(3)/(1!)+(5)/(2!)+(7)/(3!)+....=

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

(1)/(1.3)+(1)/(2)((1)/(3.5))+(1)/(3)((1)/(5.7))+....=

(1)/(5)+(1)/(3.5^(3))+(1)/(5.5^(5))+(1)/(7.5^(7))+....=

Subtract : 7 1/2-3 1/5