Bài 1: \(\lim_{x\to1}\frac{x^3-5x^2+7x-3}{x^2-1}\)
\(=\lim_{x\to1}\frac{x^3-x^2-4x^2+4x+3x-3}{\left(x-1\right)\left(x+1\right)}=\lim_{x\to1}\frac{\left(x-1\right)\left(x^2-4x+3\right)}{\left(x-1\right)\left(x+1\right)}\)
\(=\lim_{x\to1}\frac{x^2-4x+3}{x+1}=\frac{1^2-4\cdot1+3}{1+1}=0\)
\(f\left(1\right)=2m+1\)
Để hàm số liên tục tại x=1 thì \(f\left(1\right)=\lim_{x\to1}f\left(x\right)\)
=>2m+1=0
=>2m=-1
=>m=-1/2


