Bài 2: Giới hạn của hàm số
Các câu hỏi tương tự
Lim x-> âm vô cùng (4 căn (x2 -3x+1) +2x+1 )
a/ ^{lim}_{x-0}frac{sqrt{1+x}-sqrt[3]{1+x}}{x}
b/^{lim}_{x-1}left(frac{1}{1-x}-frac{1}{1-x^3}right)
c/ ^{lim}_{x-+infty}left(sqrt[3]{2x-1}-sqrt[3]{2x+1}right)
d/ ^{lim}_{x--infty}left(sqrt[3]{3x^3-1}+sqrt{x^2+2}right)
e/^{lim}_{x-2}left(frac{1}{x^2-3x+2}+frac{1}{x^2-5x+6}right)
f/ ^{lim}_{x-0^{+-}}left(frac{2x}{sqrt{4x^2+x^3}}right)
Đọc tiếp
a/ \(^{lim}_{x->0}\frac{\sqrt{1+x}-\sqrt[3]{1+x}}{x}\)
b/\(^{lim}_{x->1}\left(\frac{1}{1-x}-\frac{1}{1-x^3}\right)\)
c/ \(^{lim}_{x->+\infty}\left(\sqrt[3]{2x-1}-\sqrt[3]{2x+1}\right)\)
d/ \(^{lim}_{x->-\infty}\left(\sqrt[3]{3x^3-1}+\sqrt{x^2+2}\right)\)
e/\(^{lim}_{x->2}\left(\frac{1}{x^2-3x+2}+\frac{1}{x^2-5x+6}\right)\)
f/ \(^{lim}_{x->0^{+-}}\left(\frac{2x}{\sqrt{4x^2+x^3}}\right)\)
a. Lim x->3 x^3-27/3x^2-5x-2 b. Lim x->2 căn bậc hai (x+2)-2/4x^2-3x-2 c. Lim x->1 1-x^2/x^2-5x+4 d. Lim x->1 căn bậc ba (x+7)/x^3+27+1
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) \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{4x^2+3x-7}}{\sqrt[3]{27x^3+5x^2+x-4}}\)
\(\lim\limits_{x\rightarrow0}\dfrac{\left(1+3x\right)^3-\left(1-4x\right)^4}{x}\)
\(\lim\limits_{x\rightarrow2}\dfrac{2x^2-5x+2}{x^3-3x-2}\)
\(\lim\limits_{x\rightarrow1}\dfrac{x^4-3x+2}{x^3+2x-3}\)
\(\lim\limits_{x\rightarrow1}\dfrac{x^3-3x^2+2}{x^2-4x+3}\)
\(\lim\limits_{x\rightarrow1^-}\dfrac{x^2+3x+2}{\left|x+1\right|}\)
\(\lim\limits_{x\rightarrow3}\dfrac{\sqrt[3]{x+5}-2}{x^2-4x+3}\)
\(\lim\limits_{x\rightarrow2}\dfrac{x-\sqrt{x+2}}{x-\sqrt[3]{3x+2}}\)
\(\lim\limits_{x\rightarrow0}\dfrac{\sqrt{1+2x}-\sqrt[3]{1+3x}}{x^2}\)
\(\lim\limits_{x\rightarrow-1}\dfrac{\sqrt{5+4x}-\sqrt[3]{7+6x}}{x^3+x^2-x-1}\)
Bài 1 tìm các giới hạn sau :
a, lim 2x²-3x-2/x-2
(limx-2)
b, lim x³-3x²+5x-3/x²-1
(limx-1)
c, limx²+2x/x²+4x+4
(limx-2)
d, limx³-x²-x+1/x²-3x+2
(lim x-1)
e, limx³-5x²+3x+9/x4-8x²-9
(lim x-1)
f, lim x4-1/x³-2x²+3
(limx--1)
g, limx²+2x-3/2x²-x-1
(limx-1)
h,lim x³-3x+2/4-x²
(lim x--2)
i, lim4x6-5x5+1/x²-1
(lim x-1)
k, lim x mũ m -1/ x mũ n -1
(lim x-1)m, n thuộc N
Đọc tiếp
Bài 1 tìm các giới hạn sau :
a, lim 2x²-3x-2/x-2
(limx->2)
b, lim x³-3x²+5x-3/x²-1
(limx->1)
c, limx²+2x/x²+4x+4
(limx->2)
d, limx³-x²-x+1/x²-3x+2
(lim x->1)
e, limx³-5x²+3x+9/x4-8x²-9
(lim x->1)
f, lim x4-1/x³-2x²+3
(limx->-1)
g, limx²+2x-3/2x²-x-1
(limx->1)
h,lim x³-3x+2/4-x²
(lim x->-2)
i, lim4x6-5x5+1/x²-1
(lim x->1)
k, lim x mũ m -1/ x mũ n -1
(lim x->1)m, n thuộc N
a. limlimits_{xrightarrow0}frac{sqrt{1+2x}-1}{2x} f. limlimits_{xrightarrow1}frac{sqrt{2x+7-3}}{2-sqrt{x+3}}
b. limlimits_{xrightarrow0}frac{4x}{sqrt{9+x}-3} g. limlimits_{xrightarrow0}frac{sqrt{x^2+1}-1}{sqrt{x^2+16}-4}
c. limlimits_{xrightarrow2}frac{sqrt{x+7}-3}{x-2} h. limlimits_{xrightarrow4}frac{sqrt{x+5}-sqrt{2x+1}}{x-4}
d. limlimits_{xrightarrow1}frac{3x-2sqrt{4x^2-x-2}}{x^2-3x+2} k. limlimits...
Đọc tiếp
a. \(\lim\limits_{x\rightarrow0}\frac{\sqrt{1+2x}-1}{2x}\) f. \(\lim\limits_{x\rightarrow1}\frac{\sqrt{2x+7-3}}{2-\sqrt{x+3}}\)
b. \(\lim\limits_{x\rightarrow0}\frac{4x}{\sqrt{9+x}-3}\) g. \(\lim\limits_{x\rightarrow0}\frac{\sqrt{x^2+1}-1}{\sqrt{x^2+16}-4}\)
c. \(\lim\limits_{x\rightarrow2}\frac{\sqrt{x+7}-3}{x-2}\) h. \(\lim\limits_{x\rightarrow4}\frac{\sqrt{x+5}-\sqrt{2x+1}}{x-4}\)
d. \(\lim\limits_{x\rightarrow1}\frac{3x-2\sqrt{4x^2-x-2}}{x^2-3x+2}\) k. \(\lim\limits_{x\rightarrow0}\frac{\sqrt{x+1}+\sqrt{x+4}-3}{x}\)
e. \(\lim\limits_{x\rightarrow1}\frac{\sqrt{2x+7}+x-4}{x^3-4x^2+3}\)