Jawab:
limit 0/0
b)
[tex]\sf lim_{x\to0}~\dfrac{\sqrt x}{x^2 -4x}[/tex]
[tex]\sf lim_{x\to0}~\dfrac{\sqrt x}{x(x -4)}[/tex]
[tex]\sf lim_{x\to0}~\dfrac{\sqrt x}{(\sqrt x)(\sqrt x)(x -4)}[/tex]
[tex]\sf lim_{x\to0}~\dfrac{1}{(\sqrt x)(x -4)}[/tex]
[tex]\sf lim_{x\to0}~\dfrac{1}{(\sqrt 0)(0 -4)}= \dfrac{1}{0}= +~\infty[/tex]
c.
[tex]\sf lim_{x\to4}~\dfrac{\sqrt x - 2}{\sqrt {2x-4} - 2 }[/tex]
[tex]\sf lim_{x\to4}~\dfrac{(\sqrt x - 2)(\sqrt x + 2)(\sqrt {2x-4} + 2)}{(\sqrt {2x-4} - 2)(\sqrt x + 2)(\sqrt {2x-4} + 2) }[/tex]
[tex]\sf lim_{x\to4}~\dfrac{(x-4)(\sqrt {2x-4} + 2)}{(2x-4 - 4)(\sqrt x + 2)}[/tex]
[tex]\sf lim_{x\to4}~\dfrac{(x-4)(\sqrt {2x-4} + 2)}{(2x-8)(\sqrt x + 2)}[/tex]
[tex]\sf lim_{x\to4}~\dfrac{(x-4)(2+2)}{2(x-4)(2 + 2)}[/tex]
[tex]\sf lim_{x\to4}~\dfrac{1}{2}[/tex]
