Penjelasan dengan langkah-langkah:
[tex] = \lim \limits_{x \to - 1} \frac{x + 1}{1 - \sqrt{x + 2} } [/tex]
[tex] = \lim \limits_{x \to - 1} \frac{x + 1}{1 - \sqrt{x + 2} } \times \frac{1 + \sqrt{x + 2} }{1 + \sqrt{x + 2} } [/tex]
[tex] = \lim \limits_{x \to - 1} \frac{(x + 1)(1 + \sqrt{x + 2} )}{ {1}^{2} - { \sqrt{(x + 2)}}^{2} } [/tex]
[tex] = \lim \limits_{x \to - 1} \frac{(x + 1)(1 + \sqrt{x + 2}) }{1 - (x + 2)} [/tex]
[tex] = \lim \limits_{x \to - 1} \frac{(x + 1)(1 + \sqrt{x + 2} )}{1 - x - 2} [/tex]
[tex] = \lim \limits_{x \to - 1} \frac{(x + 1)(1 + \sqrt{x + 2}) }{ - x - 1} [/tex]
[tex] = \lim \limits_{x \to - 1} \frac{ \cancel{(x + 1)}(1 + \sqrt{x + 2} )}{ - 1. \cancel{(x + 1)}} [/tex]
[tex] = \lim \limits_{x \to - 1} - (1 + \sqrt{x + 2} )[/tex]
[tex] = - (1 + \sqrt{ - 1 + 2} )[/tex]
[tex] = - (1 + \sqrt{1} )[/tex]
[tex] = - (1 + 1)[/tex]
[tex] = - 2[/tex]
[answer.2.content]
