tolong yaa ini materi limit :)
Jawab:
limit bentuk 0/0
dalam akar
kali akar sekawan
[tex]\sf lim_{x\to 3}~ \dfrac{\sqrt{x+2}- \sqrt{2x-1}}{\sqrt{2x-3}- \sqrt x}[/tex]
kali akar sekawan maka
[tex]\sf lim_{x\to 3}~ \dfrac{\{(x+2)- (2x-1)\} (3+3)}{\{(2x-3)- (x)\}(5+5)}[/tex]
[tex]\sf lim_{x\to 3}~ \dfrac{\{x+2-2x + 1\} (6)}{\{2x-3- x\}(10)}[/tex]
[tex]\sf lim_{x\to 3}~ \dfrac{\{3-x\} (6)}{\{x-3\}(10)}[/tex]
[tex]\sf lim_{x\to 3}~ \dfrac{ -\{x-3\} (3)}{\{x-3\}(5)}[/tex]
[tex]\sf limit = -\dfrac{3}{5}[/tex]