question_answer

If \[L=\underset{n\to \infty }{\mathop{\lim }}\,\,\,\frac{1\times 2\times 3+2\times 3\times 4+3\times 4\times 5+....\text{up}\,\,\text{to}\,\,\text{n}\,\,\text{terms}}{n(1\times 2+2\times 3+3\times 4+.....up\,\,to\,\,n\,\,terms}\]

A) \[\frac{1}{4}\]                          

B) \[\frac{3}{4}\]

C) \[\frac{5}{4}\]                          

D) \[\frac{1}{2}\]

E)  None of these