Grade 7Differential Calculus
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
![L = \lim_{n\rightarrow \infty }[\frac{n^{2}-n+1}{n^{2}-n-1}]^{n(n-1)}](https://files.askiitians.com/cdn1/cms-content/common/latex.codecogs.comgif.latexl_lim_n_rightarrow_infty_fracn2-n1n2-n-1nn-1.jpg)
![L = \lim_{n\rightarrow \infty }[1+\frac{n^{2}-n+1}{n^{2}-n-1}-1]^{n(n-1)}](https://files.askiitians.com/cdn1/cms-content/common/latex.codecogs.comgif.latexl_lim_n_rightarrow_infty1_fracn2-n1n2-n-1-1nn-1.jpg)
![L = \lim_{n\rightarrow \infty }[1+\frac{2}{n^{2}-n-1}]^{n(n-1)}](https://files.askiitians.com/cdn1/cms-content/common/latex.codecogs.comgif.latexl_lim_n_rightarrow_infty1_frac2n2-n-1nn-1.jpg)
![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}}](https://files.askiitians.com/cdn1/cms-content/common/latex.codecogs.comgif.latexl_lim_n_rightarrow_infty1_frac2n2-n-1nn-1._frac2n2-n-1._fracn2-n-12.jpg)
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