\(\lim\limits_{x\rightarrow-\infty}\dfrac{17}{3-8x}=\lim\limits_{x\rightarrow-\infty}\dfrac{\dfrac{17}{x}}{\dfrac{3}{x}-8}=\dfrac{0}{-8}=0\)
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Bài 2: Giới hạn của hàm số
Các câu hỏi tương tự
\(\lim\limits_{x\rightarrow+\infty}\dfrac{x\sqrt{x^2+1}+2x+1}{\sqrt[3]{2x^3+x+1}+x}\)
\(\lim\limits_{x\rightarrow1}\dfrac{\sqrt{2x^2-x+1}-\sqrt[3]{2x+3}}{3x^2-2}\)
\(\lim\limits_{x\rightarrow+\infty}\dfrac{\sqrt{4x^2+x}+\sqrt[3]{8x^3+x-1}}{\sqrt[4]{x^4+3}}\)
1) limlimits_{xrightarrow0}dfrac{sqrt{1+4x}.sqrt[3]{1+6x}.sqrt[4]{1+8x}-1}{x}
2)limlimits_{xrightarrow1}dfrac{sqrt[3]{1+7x}-x^3+3x-4}{x-1}
3) limlimits_{xrightarrow-infty}dfrac{x^3-x^2+1}{2x^2+3x-1}
4) limlimits_{xrightarrow+infty}dfrac{sqrt{x}+sqrt[3]{x}+sqrt[4]{x}}{sqrt{4x+1}}
5) limlimits_{xrightarrow-infty}dfrac{x+sqrt{x^2+2}}{sqrt[3]{8x^3+x^2+1}}
6) limlimits_{xrightarrow-infty}dfrac{sqrt{4x^2+3x-7}}{sqrt[3]{27x^3+5x^2+x-4}}
Đọc tiếp
1) \(\lim\limits_{x\rightarrow0}\dfrac{\sqrt{1+4x}.\sqrt[3]{1+6x}.\sqrt[4]{1+8x}-1}{x}\)
2)\(\lim\limits_{x\rightarrow1}\dfrac{\sqrt[3]{1+7x}-x^3+3x-4}{x-1}\)
3) \(\lim\limits_{x\rightarrow-\infty}\dfrac{x^3-x^2+1}{2x^2+3x-1}\)
4) \(\lim\limits_{x\rightarrow+\infty}\dfrac{\sqrt{x}+\sqrt[3]{x}+\sqrt[4]{x}}{\sqrt{4x+1}}\)
5) \(\lim\limits_{x\rightarrow-\infty}\dfrac{x+\sqrt{x^2+2}}{\sqrt[3]{8x^3+x^2+1}}\)
6) \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{4x^2+3x-7}}{\sqrt[3]{27x^3+5x^2+x-4}}\)
\(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{4x^2-2}+\sqrt[3]{x^3+1}}{\sqrt{x^2+1}-x}\)
\(\lim\limits_{x\rightarrow-\infty}\dfrac{2x+3}{\sqrt{2x^2-3}}\)
\(\lim\limits_{x\rightarrow\pm\infty}\dfrac{2x^2-1}{3-x^2}\)
Tính các giới hạn sau :
a) limlimits_{xrightarrow-3}dfrac{x^2-1}{x+1}
b) limlimits_{xrightarrow-2}dfrac{4-x^2}{x+2}
c) limlimits_{xrightarrow6}dfrac{sqrt{x+3}-3}{x-6}
d) limlimits_{xrightarrow+infty}dfrac{2x-6}{4-x}
e) limlimits_{xrightarrow+infty}dfrac{17}{x^2+1}
f) limlimits_{xrightarrow+infty}dfrac{-2x^2+x-1}{3+x}
Đọc tiếp
Tính các giới hạn sau :
a) \(\lim\limits_{x\rightarrow-3}\dfrac{x^2-1}{x+1}\)
b) \(\lim\limits_{x\rightarrow-2}\dfrac{4-x^2}{x+2}\)
c) \(\lim\limits_{x\rightarrow6}\dfrac{\sqrt{x+3}-3}{x-6}\)
d) \(\lim\limits_{x\rightarrow+\infty}\dfrac{2x-6}{4-x}\)
e) \(\lim\limits_{x\rightarrow+\infty}\dfrac{17}{x^2+1}\)
f) \(\lim\limits_{x\rightarrow+\infty}\dfrac{-2x^2+x-1}{3+x}\)
1, Tính:
a, \(\lim\limits_{x\rightarrow-2}\dfrac{x^3+2x^2}{\sqrt{x^2+4x+4}}\)
b, \(\lim\limits_{x\rightarrow+\infty}\left(\sqrt{x+\sqrt{x+1}}-\sqrt{x}\right)\)
c, \(\lim\limits_{x\rightarrow-\infty}\left(\sqrt{x^2-x}+1+\sqrt[3]{x^3+2}\right)\)
Tính các giới hạn sau :
a) limlimits_{xrightarrow-3}dfrac{x+3}{x^2+2x-3}
b) limlimits_{xrightarrow0}dfrac{left(1+xright)^3-1}{x}
c) limlimits_{xrightarrow+infty}dfrac{x-1}{x^2-1}
d) limlimits_{xrightarrow5}dfrac{x-5}{sqrt{x}-sqrt{5}}
e) limlimits_{xrightarrow+infty}dfrac{x-5}{sqrt{x}+sqrt{5}}
f) limlimits_{xrightarrow-2}dfrac{sqrt{x^2+5}-3}{x+2}
g) limlimits_{xrightarrow1}dfrac{sqrt{x}-1}{sqrt{x+3}-2}
h) limlimits_{xrightarrow+infty}dfrac{1-2x+3x^3}{x^3-9}
i) limlimits_{xrightarrow0}dfr...
Đọc tiếp
Tính các giới hạn sau :
a) \(\lim\limits_{x\rightarrow-3}\dfrac{x+3}{x^2+2x-3}\)
b) \(\lim\limits_{x\rightarrow0}\dfrac{\left(1+x\right)^3-1}{x}\)
c) \(\lim\limits_{x\rightarrow+\infty}\dfrac{x-1}{x^2-1}\)
d) \(\lim\limits_{x\rightarrow5}\dfrac{x-5}{\sqrt{x}-\sqrt{5}}\)
e) \(\lim\limits_{x\rightarrow+\infty}\dfrac{x-5}{\sqrt{x}+\sqrt{5}}\)
f) \(\lim\limits_{x\rightarrow-2}\dfrac{\sqrt{x^2+5}-3}{x+2}\)
g) \(\lim\limits_{x\rightarrow1}\dfrac{\sqrt{x}-1}{\sqrt{x+3}-2}\)
h) \(\lim\limits_{x\rightarrow+\infty}\dfrac{1-2x+3x^3}{x^3-9}\)
i) \(\lim\limits_{x\rightarrow0}\dfrac{1}{x^2}\left(\dfrac{1}{x^2+1}-1\right)\)
j) \(\lim\limits_{x\rightarrow-\infty}\dfrac{\left(x^2-1\right)\left(1-2x\right)^5}{x^7+x+3}\)
BÀI 3. Tính các giới hạn sau:
a) \(\lim\limits_{x\rightarrow-\infty}\dfrac{2x^3-5x^2+1}{7x^2-x+4}\)
b) \(\lim\limits_{x\rightarrow+\infty}x\sqrt{\dfrac{x^2+2x+3}{3x^4+4x^2-5}}\)
Tính :
a) \(\lim\limits_{x\rightarrow+\infty}\left(x^4-x^2+x-1\right)\)
b) \(\lim\limits_{x\rightarrow-\infty}\left(-2x^3+3x^2-5\right)\)
c) \(\lim\limits_{x\rightarrow-\infty}\sqrt{x^2-2x+5}\)
d) \(\lim\limits_{x\rightarrow+\infty}\dfrac{\sqrt{x^2+1}+x}{5-2x}\)
\(\lim\limits_{x\rightarrow-\infty}\left(3x^3+5x^2-9\sqrt{2}x-2017\right)\)
\(\lim\limits_{x\rightarrow+\infty}\left(\sqrt{x^2+x+1}-\sqrt[3]{2x^3+x-1}\right)\)
\(\lim\limits_{x\rightarrow-\infty}\left(x-\sqrt{x^2+x+1}\right)\)
\(\lim\limits_{x\rightarrow-\infty}\left(\sqrt[3]{x^3+x^2+1}+\sqrt{x^2+x+1}\right)\)