\(\lim\limits_{x\rightarrow-3}\dfrac{x^3+27}{2x^2+3x-9}=\lim\limits_{x\rightarrow-3}\dfrac{\left(x+3\right)\left(x^2-3x+9\right)}{\left(x+3\right)\left(2x-3\right)}=\lim\limits_{x\rightarrow-3}\dfrac{x^2-3x+9}{2x-3}=-3\)
tính giá trị \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{x^2-3x+6}+2x}{2x-3}\) ?
giới hạn \(\lim\limits_{x\rightarrow+\infty}\dfrac{\left(x-1\right)^2\left(2x^3+3x\right)}{4x-x^5}=\dfrac{a}{b}\). tìm a,b biết a/b tối giản
\(\lim\limits_{x\rightarrow1}\dfrac{3-2x^2-x^4}{5-3x-2x^2}\)
tìm gioi han \(A=\lim\limits_{x\rightarrow-\infty}\dfrac{2ax+\sqrt{x^2+3x-1}}{3x+5}\)
cho \(\lim\limits_{x\rightarrow\dfrac{1}{2}}\dfrac{\sqrt{1+ax^2}-bx-2}{4x^3-3x+1}=c\) (a,b,c thuoc R). tìm a, b, c?
cho \(\lim\limits_{x\rightarrow-\infty}\dfrac{a\sqrt{x^2+1}+2017}{x+2018}=\dfrac{1}{2}\); \(\lim\limits_{x\rightarrow+\infty}\left(\sqrt{x^2+bx+1}-x\right)=2\). Tính P=4a+b
biết \(\lim\limits_{x\rightarrow+\infty}\left(x+1\right)\sqrt{\dfrac{2x+1}{5x^3+x+2}}=-\sqrt{\dfrac{a}{b}}\) . tìm a, b biết a, b là phan so toi gian; a,b>0
biết \(\lim\limits_{x\rightarrow+\infty}\left(\dfrac{x^3+1}{x^2-2}+ax+b\right)=10\). tìm a,b?
