Lim x mendekati 2 dari x^2-4/1-akar x-1

◾ Materi : Limit
◾ Sub materi : Limit Fungsi
◾ Mapel : Matematika

[tex]lim \: x > 2 \: \: \: \frac{ {x}^{2} - 4 }{1 - \sqrt{x - 1} } \times \frac{1 + \sqrt{x - 1} }{1 + \sqrt{x - 1} } \\ lim \: x > 2 \: \: \: \frac{( {x}^{2} - 4)(1 + \sqrt{x - 1} ) }{1 - (x - 1)} \\ lim \: x > 2 \: \: \: \frac{({x}^{2} - 4)(1 + \sqrt{x - 1})}{ - x + 2} \\ lim \: x > 2 \frac{(x - 2)(x + 2)(1 + \sqrt{x - 1})}{ - (x - 2)} \\ lim \: x > 2 \: \: \: - (x + 2)(1 + \sqrt{x - 1} ) \\ - (2 + 2)(1 + \sqrt{2 - 1} ) = - 4(2) = - 8[/tex]


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