निम्नलिखित श्रेढियों का योगफल अनंत पदों तक ज्ञात करो -
(A) `0.9 +0.03 +0.001 +.......,`
(B) `sqrt(3), (1)/(sqrt(3)),(1)/(3sqrt(3)),(1)/(9sqrt(3))+.......`
(C) `1+(1)/(4)+(1)/(16)+(1)/(64)+.....,`
(D) `(1)/(x+1)+(1)/((x+1)^(2))+(1)/((x+3)^(3))+....` जबकि x gt 0.
(E) `1+(1)/(2)+(1)/(4)+......,`
(F) `sqrt(2)+(1)/(sqrt(2))+(1)/(2sqrt(2))+....`
(G) `(sqrt(2)+1)+1+(sqrt(2)-1)+ .....,`
(H) `(x)/(y)-(y)/(x)+(y^(3))/(x^(3))-.....,` जबकि y lt x,

Answer

`(A)(27)/(29)(B)(3sqrt(2))/(2)(C)(4)/(5)(D)(1)/(x)(E)2(F)2sqrt(2)(G)(1)/(2)(4+3sqrt(2))(H)(x^(3))/(y(x^(2)+y^(2)))`