Matematika Sekolah Menengah Atas TOLONG LIMIT TURUNAN

TOLONG LIMIT TURUNAN

Jawab:

limit   0/0

[tex]\sf lim_{x\to 3}~~\dfrac{\sqrt{7-x}- \sqrt{2x-2}} {\sqrt{x+5}- \sqrt{3x-1}}[/tex]

kali akar sekawan

[tex]\sf lim_{x\to 3}~~\dfrac{\{(7-x) - (2x-2)\}(\sqrt{x+5}+ \sqrt{3x-1})} {\{(x+5)- (3x-1)\}(\sqrt{7-x}+ \sqrt{2x-2})}[/tex]

[tex]\sf lim_{x\to 3}~~\dfrac{(9-3x)(\sqrt 8 +\sqrt 8)}{(6-2x)(\sqrt4 + \sqrt 4)}[/tex]

[tex]\sf lim_{x\to 3}~~\dfrac{-3(x-3)(2\sqrt 8)}{-2(x-3)(2\sqrt4)}[/tex]

[tex]\sf lim_{x\to 3}~~\dfrac{-3)(4\sqrt 2)}{-2(2)(2)}=\dfrac{3}{2}\sqrt 2[/tex]

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