lim X- x→1 x-1 √x-1
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Penjelasan dengan langkah-langkah:
[tex] = \lim \limits_{x \to1} \frac{x - 1}{ \sqrt{x - 1} } [/tex]
[tex] = \lim \limits_{x \to1} \frac{x - 1}{ \sqrt{x - 1} } \times \frac{ \sqrt{x - 1} }{ \sqrt{x - 1} } [/tex]
[tex] = \lim \limits_{x \to1} \frac{(x - 1) \sqrt{x - 1} }{ {( \sqrt{x - 1} )}^{2} } [/tex]
[tex] = \lim \limits_{x \to1} \frac{ \cancel{(x - 1) }\sqrt{x - 1} }{ \cancel{x - 1} }[/tex]
[tex] = \lim \limits_{x \to1} \sqrt{x - 1} [/tex]
[tex] = \sqrt{1 - 1} [/tex]
[tex] = \sqrt{0} [/tex]
[tex] = 0[/tex]
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