lim_(xtoinfty)(cos x)/(x^2)=

(2)lim_(xtoinfty)(x^2+cos^2x-1)/((x+sin x)^2)(2)$\lim_{x\to\infty}\frac{x^{2}+\c

②lim_(xto+infty)(1+x)^(1)/(x).③lim_(xtoinfty)(1+(1)/(sqrt(1+x^2)))^x. ④lim_(xto

(2)lim_(ntoinfty)cos(x)/(2)cos(x)/(4)...cos(x)/(2^n).(2)$\lim_{n\to\infty}\cos\f

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

lim_(xtoinfty)(1+(1)/(x))^x=e。A. 对B. 错

(15)lim_(xtoinfty)((2x+3)/(2x+1))^x+1.(15)$\lim_{x\to\infty}\left(\frac{2x+3}{2x

求极限lim_(xtoinfty)x^2(arctanx^2-(pi)/(2)).15.（本题满分8分）求极限$\lim_{x\to\infty}x^{2}(a

lim_(xtoinfty)(sin x)/(x)=1.A 对B 错三、判断题（共10题，20.0分）38.（判断题，2.0分）$\lim_{x\to\inft

8.设lim_(x to 0) (sin 2x + xf(x))/(x^3) = 1,则lim_(x to 0) (2cos x + f(x))/(x^2) =

(10)求lim_(xtoinfty)x^2[e^(1+(1)/(x))^(x)-(1+(1)/(x))^ex].(10)求$\lim_{x\to\infty}