\(=\lim\limits_{x\rightarrow+\infty}\frac{1}{4-\frac{2}{x}}\sqrt{\frac{\frac{8}{x}+\frac{1}{x^2}-\frac{3}{x^3}}{1+\frac{4}{x}}}=\frac{1.0}{4\sqrt{1}}=0\)
Chương 4: GIỚI HẠN
Các câu hỏi tương tự
\(\lim\limits_{x\rightarrow\pm\infty}\left(2\sqrt{x^2+x+4}\pm\sqrt[3]{8x^3+x^2+3}\right)\)
giải giúp mình với xin cảm ơn nhiều !
\(\lim\limits_{x\rightarrow0}\left(\frac{1}{x}+\frac{1}{x^2}\right)\)
\(\lim\limits_{x\rightarrow+\infty}\frac{\sqrt{\left(-x\right)^2+2}}{x-1}\)
\(\lim\limits_{x\rightarrow-\infty}\frac{|x|+\sqrt{x^2+x}}{x+10}\)
\(\lim\limits_{x\rightarrow+\infty}\dfrac{2x\left(\sqrt{4x^2-2x}+\sqrt[3]{3x^2-8x^3}\right)}{5x-1}\)
Tìm giới hạn:
a, \(\lim\limits_{x\rightarrow+\infty}\dfrac{\sqrt{x^2+x+2}}{x-1}\)
b, \(\lim\limits_{x\rightarrow-\infty}\left(\sqrt{4x^2-x}+2x\right)\)
Tính các giới hạn sau:
a) \(\lim\limits_{x\rightarrow0^-}\dfrac{2\left|x\right|+x}{x^2-x}\)
b) \(\lim\limits_{x\rightarrow-\infty}\left(\sqrt{x^2-x}-\sqrt{x^2-1}\right)\)
c) \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt[3]{1+x^4+x^6}}{\sqrt{1+x^3+x^4}}\)
Các bạn tính giúp mình mấy câu này với:1. limlimits_{xrightarrowleft(-1right)-}dfrac{sqrt{x^2-3x-4}}{1-x^2}2. limlimits_{xrightarrow2^+}left(dfrac{1}{x-2}-dfrac{x+1}{sqrt{x+2}-2}right)3. limlimits_{xrightarrow+infty}dfrac{3x^2-5sin2x+7cos^2x}{2x^2+2}4. limlimits_{xrightarrow+infty}left(x.sinleft(dfrac{1}{3x}right)right)5. limlimits_{xrightarrow0}dfrac{sqrt{2x+1}.sqrt[3]{3x+1}.sqrt[4]{4x+1}-1}{x}6. limlimits_{xrightarrow0}left(dfrac{sqrt{9x+4}-sqrt[3]{4x^{^2}+8}}{sinx}right)
Đọc tiếp
Các bạn tính giúp mình mấy câu này với:
1. \(\lim\limits_{x\rightarrow\left(-1\right)-}\dfrac{\sqrt{x^2-3x-4}}{1-x^2}\)
2. \(\lim\limits_{x\rightarrow2^+}\left(\dfrac{1}{x-2}-\dfrac{x+1}{\sqrt{x+2}-2}\right)\)
3. \(\lim\limits_{x\rightarrow+\infty}\dfrac{3x^2-5sin2x+7cos^2x}{2x^2+2}\)
4. \(\lim\limits_{x\rightarrow+\infty}\left(x.sin\left(\dfrac{1}{3x}\right)\right)\)
5. \(\lim\limits_{x\rightarrow0}\dfrac{\sqrt{2x+1}.\sqrt[3]{3x+1}.\sqrt[4]{4x+1}-1}{x}\)
6. \(\lim\limits_{x\rightarrow0}\left(\dfrac{\sqrt{9x+4}-\sqrt[3]{4x^{^2}+8}}{sinx}\right)\)
Tìm giới hạn:
a, \(\lim\limits_{x\rightarrow+\infty}x\left(\sqrt{x^2+2}-x\right)\)
b, \(\lim\limits_{x\rightarrow-\infty}\dfrac{3x^2-4x+6}{x-2}\)
Tính các giới hạn
a) \(\lim\limits_{x\rightarrow-\infty}\dfrac{x+3}{3x-1}\)
b) \(\lim\limits_{x\rightarrow+\infty}\dfrac{\left(\sqrt{x^2+1}+x\right)^n-\left(\sqrt{x^2+1}-x\right)^n}{x}\)
Tính các giới hạn
a) \(\lim\limits_{x\rightarrow+\infty}\sqrt[3]{x^3+3x^2}-\sqrt{x^2-2x}\)
b) \(\lim\limits_{x\rightarrow+\infty}\sqrt[n]{\left(x+a_1\right)\left(x+a_2\right)...\left(x+a_n\right)}-x\)