limit fungsi akar x-1 dibagi 2(x-1), dengan nilai x adalah 1

Karena jika disubtitusi langsung hasilnya 0 per 0 maka kita gunakan cara :
[tex] \lim_{x \to 1} \frac{ \sqrt{x} - 1}{2(x-1)} [/tex]

[tex]= \lim_{x \to 1} \frac{ \sqrt{x} - 1}{2(x-1)} \times \frac{\sqrt{x} + 1}{\sqrt{x} + 1} [/tex]

[tex]= \lim_{x \to 1} \frac{x - 1}{2(x-1)(\sqrt{x} + 1)}\,\,\,\,\,\,\,\,[coret\,\,yang\,\,sama][/tex]

[tex]= \lim_{x \to 1} \frac{1}{2(\sqrt{x} + 1)}[/tex]

[tex]= \lim_{x \to 1} \frac{1}{2\sqrt{x} + 2}[/tex]

[tex]= \frac{1}{2\sqrt{x} + 2}[/tex]

[tex]= \frac{1}{2\sqrt{1} + 2}[/tex]

[tex]= \frac{1}{2(1) + 2}[/tex]

[tex]= \frac{1}{4}[/tex]