निम्न श्रेणियों के n पदों का योग कीजिए |
`1+(1+(1)/(3))+(1+(1)/(3)+(1)/(3^(2)))+…`

1+(1)/(1+2)+(1)/(1+2+3)+(1)/(1+2+3+n)=(2n)/(n+1)

lim_ (n rarr oo) (1+ (1) / (2) + (1) / (2 ^ (2)) + (1) / (2 ^ (3)) + ...... (1) / (2 ^ (n))) / (1+ (1) / (3) + (1) / (3 ^ (2)) + (1) / (3 ^ (3)) ...... (1) / (3 ^ (n)))

(1)/(1*2)+(1)/(2*3)+(1)/(3*4)+"…."+(1)/(n(n+1)) equals

(1)/(1*2)+(1)/(2*3)+(1)/(3*4)+"…."+(1)/(n(n+1)) equals

निम्न समीकरण को हल कीजिए - tan^(-1)(x-1)+tan^(-1)(x)+tan^(-1)(x+1)=tan^(-1) 3 x

For all ngt=1 , prove that , (1)/(1.2) + (1)/(2.3) + (1)/(3.4) + ……+ (1)/(n(n+1)) = (n)/(n+1)