QUIZ ,PAGI peraturan: #No spam #jawab pakai cara #gunakan kata kata yg sopan Soal digambar #No copast GOOD LUCK

Semoga membantu.....
maaf jika salah

[tex]\lim_{x \to \infty} (x - \sqrt{x^{2} - 4x} )[/tex]
[tex]= \lim_{x \to \infty} ( \sqrt{x^{2} } - \sqrt{x^{2} - 4x} )[/tex]
[tex]= \lim_{x \to \infty} ( \sqrt{x^{2} } - \sqrt{x^{2} - 4x} ) \ X \ \frac{ ( \sqrt{x^{2} } + \sqrt{x^{2} - 4x} )}{ ( \sqrt{x^{2} } + \sqrt{x^{2} - 4x} )}[/tex]
[tex]= \lim_{x \to \infty} \frac{ ( {x^{2} } - {x^{2} - 4x} )}{ ( \sqrt{x^{2} } + \sqrt{x^{2} - 4x} )}[/tex]
[tex]= \lim_{x \to \infty} \frac{ (- {2x^{2} - 4x} )}{ ( \sqrt{x^{2} } + \sqrt{x^{2} - 4x} )}[/tex]
[tex]= \lim_{x \to \infty} \frac{ (- {2x - 4} )}{ ( \sqrt{1 } + \sqrt{1 - \frac{4}{x} } )}[/tex]
[tex]= \frac{ (- {2\infty - 4} )}{ ( \sqrt{1 } + \sqrt{1 - \frac{4}{\infty} } )}[/tex]
[tex]= \frac{ - {\infty}}{{ 2 }}[/tex]
[tex]= - {\infty} [/tex]