no.. not till infinity... it's upto only n.. like from 1 to 3 or 1 to 4 or say 1 to n... and the question is summation of 1/(n*(n+1)*(n+2)) .. this is nth term of the series...
no.. not till infinity... it's upto only n.. like from 1 to 3 or 1 to 4 or say 1 to n... and the question is summation of 1/(n*(n+1)*(n+2)) .. this is nth term of the series...
Well note that $\displaystyle \frac{1}{n(n+1)(n+2)}=\frac{1}{2n}-\frac{1}{(n+1)}+\frac{1}{2(n+2)}$.
Write out several terms to see if some pattern is there.