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Bài 3:
a: \(15x^2y-10xy^2=5xy\left(3x-2y\right)\)
b: \(x^2+2xy+y^2-9=\left(x+y-3\right)\left(x+y+3\right)\)
ĐKXĐ cho căn thức: \(x\ge-\dfrac{1}{2}\)
\(\lim\limits_{x\rightarrow+\infty}\dfrac{3x+1-\sqrt{2x+1}}{x^2-x}=\lim\limits_{x\rightarrow+\infty}\dfrac{\dfrac{3}{x}+\dfrac{1}{x^2}-\sqrt{\dfrac{2}{x^3}+\dfrac{1}{x^4}}}{1-\dfrac{1}{x}}=\dfrac{0}{1}=0\)
\(\Rightarrow y=0\) là TCN
\(\lim\limits_{x\rightarrow0}\dfrac{3x+1-\sqrt{2x+1}}{x^2-x}=\lim\limits_{x\rightarrow0}\dfrac{9x^2+4x}{x\left(x-1\right)\left(3x+1+\sqrt{2x+1}\right)}=\lim\limits_{x\rightarrow0}\dfrac{9x+4}{\left(x-1\right)\left(3x+1+\sqrt{2x+1}\right)}\)
\(=\dfrac{4}{-1\left(1+1\right)}\) hữu hạn
\(\Rightarrow x=0\) không phải tiệm cận
\(\lim\limits_{x\rightarrow1}\dfrac{3x+1-\sqrt{2x+1}}{x\left(x-1\right)}=\dfrac{4-\sqrt{3}}{0}=+\infty\Rightarrow x=1\) là TCĐ
Đồ thị hàm số có 2 tiệm cận
1 is washing
2 aren't watching
3 am having
4 is studying
5 are staying
6 are rising
7 are wautubg
8 are becoming
is the famous writer whose books I always enjoy reading
Neither Richard nor John kept her secret
We enjoy the city where we spend our vacation
He lets me use his car on my birthday
is bigger than this house
Hoa and Nam are very intelligent