Guest

lim [n 2 -n+1/n 2 -n-1] n(n-1) n_# # is infinity

lim [n2-n+1/n2-n-1]n(n-1)
n_#
# is infinity

Grade:7

2 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
241-1174_Capture.PNG
Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Hello student,
Please find answer to your question
L = \lim_{n\rightarrow \infty }[\frac{n^{2}-n+1}{n^{2}-n-1}]^{n(n-1)}
L = \lim_{n\rightarrow \infty }[1+\frac{n^{2}-n+1}{n^{2}-n-1}-1]^{n(n-1)}
L = \lim_{n\rightarrow \infty }[1+\frac{2}{n^{2}-n-1}]^{n(n-1)}
L = \lim_{n\rightarrow \infty }[1+\frac{2}{n^{2}-n-1}]^{n(n-1).\frac{2}{n^{2}-n-1}.\frac{n^{2}-n-1}{2}}
L = e^{\lim_{n\rightarrow \infty }\frac{2n(n-1)}{n^{2}-n-1}}
L = e^{2}

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free