Bài 4: Ôn tập chương Giới hạn
Các câu hỏi tương tự
Tính giới hạn:
\(_{\lim\limits_{x\rightarrow\dfrac{\Pi}{4}}}\dfrac{\sqrt{2}Cosx-1}{\sqrt{2}Sinx-1}\)
\(\lim\limits_{x->0}\)\(\frac{1-\sqrt{cos3x-cos6x}}{x^2}\)
\(\lim\limits_{x->0}\)\(\frac{1-\sqrt{cos3x-cos6x}}{x^2}\)
1. \(_{\lim\limits_{x->-1^{ }}}\frac{\sqrt{x^2+3}-2}{x+1}\)
2.
\(_{\lim\limits_{x->-3^+}}\frac{1-x}{\left(3+x^2\right)}\)
Helpp mee
Tìm các giới hạn sau :
a) \(\lim\limits_{x\rightarrow-2}\dfrac{x+5}{x^2+x-3}\)
b) \(\lim\limits_{x\rightarrow3^-}\sqrt{x^2+8x+3}\)
c) \(\lim\limits_{x\rightarrow+\infty}\left(x^3+2x^2\sqrt{x}-1\right)\)
d) \(\lim\limits_{x\rightarrow-1}\dfrac{2x^3-5x-4}{\left(x+1\right)^2}\)
Tìm các giới hạn sau :
a) limlimits_{xrightarrow2}dfrac{x+3}{x^2+x+4}
b) limlimits_{xrightarrow-3}dfrac{x^2+5x+6}{x^2+3x}
c) limlimits_{xrightarrow4^-}dfrac{2x-5}{x-4}
d) limlimits_{xrightarrow+infty}left(-x^3+x^2-2x+1right)
e) limlimits_{xrightarrow-infty}dfrac{x+3}{3x-1}
f) limlimits_{xrightarrow-infty}dfrac{sqrt{x^2-2x+4}-x}{3x-1}
Đọc tiếp
Tìm các giới hạn sau :
a) \(\lim\limits_{x\rightarrow2}\dfrac{x+3}{x^2+x+4}\)
b) \(\lim\limits_{x\rightarrow-3}\dfrac{x^2+5x+6}{x^2+3x}\)
c) \(\lim\limits_{x\rightarrow4^-}\dfrac{2x-5}{x-4}\)
d) \(\lim\limits_{x\rightarrow+\infty}\left(-x^3+x^2-2x+1\right)\)
e) \(\lim\limits_{x\rightarrow-\infty}\dfrac{x+3}{3x-1}\)
f) \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{x^2-2x+4}-x}{3x-1}\)
cho hàm số f(x) thoả mãn \(\lim\limits_{x\rightarrow3}\dfrac{f\left(x\right)-2}{x-3}=\dfrac{1}{4}\)
tính \(I=\lim\limits_{x\rightarrow3}\dfrac{f\left(x\right)-2}{\left(x-3\right)\left(\sqrt{5f\left(x\right)+6}+1\right)}\)
Giúp em với ạ em cảm ơn nhìu!!!!!
1. tính gới hạn \(\lim\limits_{x\rightarrow1}\frac{\sqrt[3]{x+7}-\sqrt{5-x^2}}{x-1}\)
2. tính gới hạn của dãy số \(\lim\limits\frac{1^7+2^7+...+n^7}{n^8}\)
Tìm các giới hạn sau :
a) limlimits_{xrightarrow0}dfrac{sqrt{x^2+1}-1}{4-sqrt{x^2+16}}
b) limlimits_{xrightarrow1}dfrac{x-sqrt{x}}{sqrt{x}-1}
c) limlimits_{xrightarrow+infty}dfrac{2x^4+5x-1}{1-x^2+x^4}
d) limlimits_{xrightarrow-infty}dfrac{x+sqrt{4x^2-x+1}}{1-2x}
e) limlimits_{xrightarrow+infty}xleft(sqrt{x^2+1}-xright)
f) limlimits_{xrightarrow2^+}left(dfrac{1}{x^2-4}-dfrac{1}{x-2}right)
Đọc tiếp
Tìm các giới hạn sau :
a) \(\lim\limits_{x\rightarrow0}\dfrac{\sqrt{x^2+1}-1}{4-\sqrt{x^2+16}}\)
b) \(\lim\limits_{x\rightarrow1}\dfrac{x-\sqrt{x}}{\sqrt{x}-1}\)
c) \(\lim\limits_{x\rightarrow+\infty}\dfrac{2x^4+5x-1}{1-x^2+x^4}\)
d) \(\lim\limits_{x\rightarrow-\infty}\dfrac{x+\sqrt{4x^2-x+1}}{1-2x}\)
e) \(\lim\limits_{x\rightarrow+\infty}x\left(\sqrt{x^2+1}-x\right)\)
f) \(\lim\limits_{x\rightarrow2^+}\left(\dfrac{1}{x^2-4}-\dfrac{1}{x-2}\right)\)