(2)lim_(ntoinfty)cos(x)/(2)cos(x)/(4)...cos(x)/(2^n).(2)$\lim_{n\to\infty}\cos\f
设 ^2=sum _(n=0)^infty (a)_(n)cos nx,(-pi leqslant xleqslant pi ), 则 _(3)= __ 艹
5.设f(x+1)=lim_(ntoinfty)((n+x)/(n-2))^n,则f(x)=（ ）A. $e^{x-1}$B. $e^{x+2}$C. $e^
lim_(ntoinfty)((1)/(sqrt(n^2)+1)+(1)/(sqrt(n^2)+2)+...+(1)/(sqrt(n^2)+n))=_.$\li
5.填空题lim_(ntoinfty)(1)/(6^n)=____.5.填空题$\lim_{n\to\infty}\frac{1}{6^{n}}$=____.
【例1】极限lim_(ntoinfty)(2n+3sin n)/(n)=（）.A. ∞B. 2C. 3D. 5
lim_(xtoinfty)(pi)/(x)sin(pi x)=填空题（共40题，64.0分） 43. (1.6分) $\lim_{x\to\infty}\fr
第一章 函数与极限(3)lim_(ntoinfty)(sqrt(n^2)+a^(2))/(n)=1; (4)lim_(ntoinfty)0.999...9=1.
(5)lim_(xto(pi)/(2))(1+cos x)^2sec x(5)$\lim_{x\to\frac{\pi}{2}}(1+\cos x)^{2\se
11 单选 -|||-lim _(xarrow {pi )_(+)}dfrac (sqrt {1+cos x)}(sin x)= ()-|||-○