Question

tìm giới han

\(\lim\limits_{x\rightarrow-\infty}\left(\sqrt{4x^2-4x+1}-2x-3\right)\)

Answer 1

Lời giải:

\(\lim\limits_{x\to-\infty}\left(\sqrt{4x^2-4x+1}-2x-3\right)=\lim\limits_{x\to-\infty}\left(\left|2x-1\right|-2x-3\right)\)

\(=\lim\limits_{x\to-\infty}\left(1-2x-2x-3\right)=\lim\limits_{x\to-\infty}\left(-2-4x\right)=\infty\)