【141】求极限lim_(xtoinfty)(5x^2-3)/(2x+1)sin(2)/(x).

1.求极限lim_(xtoinfty)(1-(3)/(x))^5x1.求极限$\lim_{x\to\infty}\left(1-\frac{3}{x}\righ

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

求极限 lim_(x to infty) ( (2x+3)/(2x+1) )^x-1 求极限 $\lim_{x \to \infty} \left( \frac

求极限；（3）lim _(xarrow 0)dfrac (sin 2x)(sin 5x)；求极限；（3）；

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

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

求极限：lim_(xtoinfty)x^2[e^(1+(1)/(x))^(x)-(1+(1)/(x))^ex]求极限：$\lim_{x\to\infty}x^{

42.求极限lim_(xtoinfty)[x-x^2ln(1+(1)/(x))].42.求极限$\lim_{x\to\infty}\left[x-x^{2}\l

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

0.(2024·江苏)求极限lim_(xtoinfty)x^2(arctan x^2-(pi)/(2)).0.(2024·江苏)求极限$\lim_{x\to\i