\(\lim\limits_{x\rightarrow1}\dfrac{3\sqrt{4x-1}-\sqrt{4x-3}}{x-1}=\dfrac{3\sqrt{3}-1}{0}=+\infty\)
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Các câu hỏi tương tự
a) \(\lim\limits_{x\rightarrow1}\dfrac{\sqrt{2x+2}+\sqrt{5x+4}-5}{x-1}_{ }\)
b) \(\lim\limits_{x\rightarrow0}\dfrac{\sqrt{4x+4}+\sqrt{90-6x}-5}{x^2}\)
11) \(\lim\limits_{x->1}\) \(\dfrac{3_{\sqrt{4x-1}-\sqrt{4x-3}}}{x-1}\)
11) \(\lim\limits_{x->4}\dfrac{4x-1}{x^2-8x+16}\)
12) \(\lim\limits_{x->2}\)\(\dfrac{4-x^2}{x^3-8}\)
13) \(\lim\limits_{x->+\infty}\left(3_{\sqrt{x^3+4x^2}-x}\right)\)
a) limlimits_{xrightarrow+infty}^{3_{sqrt{x^3+4x^2}-x}}b) fleft(xright)left{{}begin{matrix}dfrac{4x-1}{x-1}neux17x+1neux 1end{matrix}right. Tính limlimits fleft(xright)_{xrightarrow1^+} , limlimits fleft(xright)_{xrightarrow1^-}
Đọc tiếp
a) \(\lim\limits_{x\rightarrow+\infty}\)\(^{3_{\sqrt{x^3+4x^2}-x}}\)
b) \(f\left(x\right)=\left\{{}\begin{matrix}\dfrac{4x-1}{x-1}neux>1\\7x+1neux< 1\end{matrix}\right.\)
Tính \(\lim\limits f\left(x\right)_{x\rightarrow1^+}\) , \(\lim\limits f\left(x\right)_{x\rightarrow1^-}\)
tính giới hạn
a) \(\lim\limits_{x\rightarrow4}\dfrac{\sqrt{2x+8}-4}{x-4}\)
b) \(\lim\limits_{x\rightarrow2}\dfrac{x^2-4}{\sqrt{4x+1}-3}\)
c) \(\lim\limits_{x\rightarrow2}\dfrac{x-2}{2-\sqrt{x+2}}\)
8 tháng 1 lúc 20:56
\(\lim\limits_{x\rightarrow0}\dfrac{\sqrt{1+2x}.\sqrt[3]{1+3x}-\sqrt{1+4x}}{1+x-\sqrt{1+2x}}=?\)
tính giới hạn
a) \(\lim\limits_{x\rightarrow1}\dfrac{x^2-1}{\sqrt{3x+1}-2}\)
b) \(\lim\limits_{x\rightarrow2}\dfrac{x^2-2x}{\sqrt{x+2}-2}\)
\(\lim\limits_{x\rightarrow1}\dfrac{\sqrt[3]{3x-2}+x^3+3x^2-5}{x-1}\)
tính giới hạn
a) \(\lim\limits_{x\rightarrow+\infty}\left(2x-\sqrt{x^2+4x-3}\right)\)
b) \(\lim\limits_{x\rightarrow+\infty}\left(\sqrt{4x^2-3x+1}-2x\right)\)
tính giới hạn
a) \(\lim\limits_{x\rightarrow3}\dfrac{\sqrt{2x+10}-4}{3x-9}\)
b) \(\lim\limits_{x\rightarrow7}\dfrac{\sqrt{4x+8}-6}{x^2-9x+14}\)
c) \(\lim\limits_{x\rightarrow5}\dfrac{x^2-8x+15}{2x^2-9x-5}\)