Bạn tự hiểu là giới hạn khi x tới 2:
\(=\frac{2\left(x-2\right)\left(x^2+2x+4\right)\sqrt{3x^2+4}}{\left(x-2\right)\left(4x-5\right)}=\frac{2\left(x^2+2x+4\right)\sqrt{3x^2+4}}{4x-5}=\frac{2.\left(2^2+4+4\right)\sqrt{3.4+4}}{8-5}=...\)
Chương 4: GIỚI HẠN
Các câu hỏi tương tự
Tìm giới hạn:
a, \(\lim\limits_{x\rightarrow2}\dfrac{1-\sqrt{x^2+3}}{-x^2+3x-2}\)
b, \(\lim\limits_{x\rightarrow2}\dfrac{\sqrt{4x-1}+3}{x^2-4}\)
Cho \(\lim\limits_{x\rightarrow2}\dfrac{f\left(x\right)-32}{x-2}=3\). Tính \(\lim\limits_{x\rightarrow2}\dfrac{\sqrt{3f\left(x\right)+10}+\sqrt[3]{f\left(x\right)-5}-2x-3}{x^2+x-6}\)
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. \(\lim\limits_{x\rightarrow0}\left(\dfrac{\sqrt{9x+4}-\sqrt[3]{4x^{^2}+8}}{sinx}\right)\)
\\(\\lim\\limits_{x\\rightarrow-\\infty}\\left(2x^3-x^2+3x-5\\right)\\)
\n\n\\(\\lim\\limits_{x\\rightarrow2}\\frac{3}{\\left(x-2\\right)\\left(x^2-3x+2\\right)}\\)
\n\n\\(\\lim\\limits_{x\\rightarrow0}\\frac{x^2-5}{x^5+x^4}\\)
\ntìm giới han
\(\lim\limits_{x\rightarrow-\infty}\left(\sqrt{4x^2-4x+1}-2x-3\right)\)
Tìm giới hạn:
a, \(\lim\limits_{x\rightarrow-2}\dfrac{\sqrt[3]{2x+12}+x}{x^2+2x}\)
b, \(\lim\limits_{x\rightarrow2}\dfrac{x-\sqrt{x+2}}{x^3-8}\)
Tìm giới hạn sau :
\(\lim\limits_{x\rightarrow2}\frac{x-\sqrt{3x-2}}{x^2-4}\)
Biết \(\lim\limits_{x\rightarrow2}\dfrac{f\left(x\right)-3}{x-2}=5\). Tính \(\lim\limits_{x\rightarrow2}\dfrac{\sqrt{f\left(x\right)+6}-\sqrt[3]{x+25}}{x-2}\)
Tìm giới hạn:
a, \(\lim\limits_{x\rightarrow+\infty}\dfrac{\sqrt{x^2+x+2}}{x-1}\)
b, \(\lim\limits_{x\rightarrow-\infty}\left(\sqrt{4x^2-x}+2x\right)\)