limx→2x+2x+7−2x+7−3x+2+6x4x+1−24x+1−3x+6 How to solve this???

Umaiza Hutton

Answered question

2022-02-17

$\underset{x\to 2}{lim}\frac{\sqrt{x+2}\sqrt{x+7}-2\sqrt{x+7}-3\sqrt{x+2}+6}{x\sqrt{4x+1}-2\sqrt{4x+1}-3x+6}$
How to solve this???

Answer & Explanation

ayulyndji

Beginner2022-02-18Added 3 answers

let $\sqrt{x+2}=a,\sqrt{x+7}=b,\sqrt{4x+1}=c$
So,
$\underset{x\to 2}{lim}\frac{\sqrt{x+2}\sqrt{x+7}-2\sqrt{x+7}-3\sqrt{x+2}+6}{x\sqrt{4x+1}-2\sqrt{4x+1}-3x+6}=\underset{x\to 2}{lim}\frac{(a-2)(b-3)}{(x-2)(c-3)}$
Do you know what to do now?)