

1, [tex]\lim_{x\rightarrow 1}\frac{x^{n}-nx+n-1}{(x-1)^{2}}[/tex]
2, [tex]\lim_{x\rightarrow \frac{\pi }{2}^{+}}\frac{\sqrt{1+cos2x}}{\frac{\pi}{2}-x}[/tex]
3, [tex]\lim_{x\rightarrow a}\frac{x^{n}-a^{n}-na^{n-1}(x-a)}{(x-a)^{2}}[/tex]
4, [tex]\lim_{x\rightarrow 1}(\frac{n}{1-x^{n}}-\frac{1}{1-x})[/tex]
5, [tex]\lim_{x\rightarrow 0}\frac{\sqrt[n]{1+x}-1}{x} (n\epsilon N;n\geq 2)[/tex]
2, [tex]\lim_{x\rightarrow \frac{\pi }{2}^{+}}\frac{\sqrt{1+cos2x}}{\frac{\pi}{2}-x}[/tex]
3, [tex]\lim_{x\rightarrow a}\frac{x^{n}-a^{n}-na^{n-1}(x-a)}{(x-a)^{2}}[/tex]
4, [tex]\lim_{x\rightarrow 1}(\frac{n}{1-x^{n}}-\frac{1}{1-x})[/tex]
5, [tex]\lim_{x\rightarrow 0}\frac{\sqrt[n]{1+x}-1}{x} (n\epsilon N;n\geq 2)[/tex]
Last edited: