Bài 2: Giới hạn của hàm số
Các câu hỏi tương tự
Câu 1:
a, limx→-∞ \(\dfrac{x+\sqrt{x^2+2}}{\sqrt{8x^2+5x+2}}\)
b, limx→-∞ \(\dfrac{\sqrt{x^2+2x}+3x}{\sqrt{4x^2+1}-x+2}\)
c, limx→-∞ \(\dfrac{x+\sqrt{x^2+x}}{3x-\sqrt{x^2+1}}\)
d, limx→-∞ \(\dfrac{\sqrt{x^2+x+2}+3x}{\sqrt{4x^2+1}-x+1}\)
1/ \(\lim\limits_{x\to 1}\) \(\dfrac{\sqrt[3]{7+x^3}-\sqrt{3+x^2}}{x-1}\)
2/ \(\lim\limits_{x \to \ +\infty} \)\(x\left[\sqrt{4x^2+5}-\sqrt[3]{8x^3-1}\right]\)
3/ \(\lim\limits_{x\to 1}\)\(\dfrac{x^3-2x-1}{x^5-2x-1}\)
Giải giúp mình với ạ
Tính các giới hạn sau:Câu 1:a, limx→pm∞ dfrac{left(2x-3right)^2left(4x+7right)^3}{left(3x-4right)^2left(5x^2-1right)}b, limx→pm∞ dfrac{sqrt[3]{x^3+2x^2+x}}{2x-2}c, limx→pm∞ dfrac{sqrt[3]{left(x^3+2x^2right)^2}+x^3sqrt{x^3+2x^2}+x^2}{3x^2-2x}d, limx→+∞ dfrac{left(2-3xright)^3left(x+1right)^2}{1-4x^5}e, limx→+∞ dfrac{left(2x-3right)^{20}left(3x+2right)^{20}}{left(2x+1right)^{50}}g, limx→+∞ dfrac{left(2x-3right)^3left(4x^5+7right)^9}{11x^{47}-8}
Đọc tiếp
Tính các giới hạn sau:
Câu 1:
a, limx→\(\pm\)∞ \(\dfrac{\left(2x-3\right)^2\left(4x+7\right)^3}{\left(3x-4\right)^2\left(5x^2-1\right)}\)
b, limx→\(\pm\)∞ \(\dfrac{\sqrt[3]{x^3+2x^2+x}}{2x-2}\)
c, limx→\(\pm\)∞ \(\dfrac{\sqrt[3]{\left(x^3+2x^2\right)^2}+x^3\sqrt{x^3+2x^2}+x^2}{3x^2-2x}\)
d, limx→+∞ \(\dfrac{\left(2-3x\right)^3\left(x+1\right)^2}{1-4x^5}\)
e, limx→+∞ \(\dfrac{\left(2x-3\right)^{20}\left(3x+2\right)^{20}}{\left(2x+1\right)^{50}}\)
g, limx→+∞ \(\dfrac{\left(2x-3\right)^3\left(4x^5+7\right)^9}{11x^{47}-8}\)
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) \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{4x^2+3x-7}}{\sqrt[3]{27x^3+5x^2+x-4}}\)
\(\lim\limits_{x\rightarrow+\infty}\dfrac{x\sqrt{x^2+1}+2x+1}{\sqrt[3]{2x^3+x+1}+x}\)
\(\lim\limits_{x\rightarrow1}\dfrac{\sqrt{2x^2-x+1}-\sqrt[3]{2x+3}}{3x^2-2}\)
\(\lim\limits_{x\rightarrow+\infty}\dfrac{\sqrt{4x^2+x}+\sqrt[3]{8x^3+x-1}}{\sqrt[4]{x^4+3}}\)
\(\lim\limits_{x\rightarrow3}\dfrac{\sqrt{2x+3}-x}{x^2-4x+3}\)
\(\lim\limits_{x\rightarrow0}\dfrac{\sqrt[3]{x+1}-1}{\sqrt[4]{2x+1}-1}\)
\(\lim\limits_{x\rightarrow0}\dfrac{\sqrt{1+4x}-\sqrt[3]{1+6x}}{x^2}\)
\(\lim\limits_{x\rightarrow0}\dfrac{\sqrt{4x+1}-\sqrt[3]{2x+1}}{x}\)
\(\lim\limits_{x\rightarrow1}\dfrac{\sqrt{4x+5}-3}{\sqrt[3]{5x+3}-2}\)
\(\lim\limits_{x\rightarrow-1}\dfrac{\sqrt[4]{2x+3}+\sqrt[3]{2+3x}}{\sqrt{x+2}-1}\)
1) limlimits_{xrightarrow0}dfrac{2sqrt{1+x}-sqrt[3]{8-x}}{x}
2)limlimits_{xrightarrow1}dfrac{sqrt[3]{x+7}-sqrt{x+3}}{x^2-3x+2}
3)limlimits_{xrightarrow1}dfrac{sqrt[3]{x^2+7}-sqrt{5-x^2}}{x^2-1}
4)limlimits_{xrightarrow-2}dfrac{sqrt{x+11}-sqrt[3]{8x+43}}{2x^2+3x-2}
5) limlimits_{xrightarrow0}dfrac{sqrt[n]{1+ax}-sqrt[m]{1+bx}}{x}
6)limlimits_{xrightarrow0}dfrac{sqrt{1+4x}.sqrt[3]{1+6x}-1}{x}
Đọc tiếp
1) \(\lim\limits_{x\rightarrow0}\dfrac{2\sqrt{1+x}-\sqrt[3]{8-x}}{x}\)
2)\(\lim\limits_{x\rightarrow1}\dfrac{\sqrt[3]{x+7}-\sqrt{x+3}}{x^2-3x+2}\)
3)\(\lim\limits_{x\rightarrow1}\dfrac{\sqrt[3]{x^2+7}-\sqrt{5-x^2}}{x^2-1}\)
4)\(\lim\limits_{x\rightarrow-2}\dfrac{\sqrt{x+11}-\sqrt[3]{8x+43}}{2x^2+3x-2}\)
5) \(\lim\limits_{x\rightarrow0}\dfrac{\sqrt[n]{1+ax}-\sqrt[m]{1+bx}}{x}\)
6)\(\lim\limits_{x\rightarrow0}\dfrac{\sqrt{1+4x}.\sqrt[3]{1+6x}-1}{x}\)
\(\lim\limits_{x\rightarrow1^+}\dfrac{\sqrt{x^3-x^2}}{\sqrt{x-1}+1-x}\)
\(\lim\limits_{x\rightarrow3}\dfrac{\sqrt{x^2+x}-2\sqrt{3}}{x-3}\)
\(\lim\limits_{x\rightarrow-2}\dfrac{x^4+8x}{x^3+2x^2+x+2}\)