[" 6."quad " श्रेढी "1+(1+(1)/(3))+(1+(1)/(3)+(1)/(3^(2)))+],[n" पदों तक योगफल जात कीजिए। "]

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

1+ (n)/(3)+(n (n+1))/(3.6)+(n (n+1) (n+2))/(3.6.9)+... oo

(2)/(3) -((1)/(2) -(1)/(3))/((1)/(2)+(1)/(3))xx3(1)/(3)+(5)/(6) =?

The value of (a^(2/3) +2a^(1/2)+3a^(1/3) +2a^(1/6)+1)(a^(1/3)-2a^(1/6)+1)-a^(1/2)(a^(1/2)-2) , when a = 7, is: (a^(2/3) +2a^(1/2)+3a^(1/3) +2a^(1/6)+1)(a^(1/3)-2a^(1/6)+1)-a^(1/2)(a^(1/2)-2) , का मान ज्ञात कीजिए, जब a= 7 है:

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)))

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

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