lim x- 0 [tex] \frac{ {x}^{2} }{1 - \sqrt{1 + {x}^{2} } } [/tex]
Matematika
Waamaliaaa
Pertanyaan
lim
x- 0
[tex] \frac{ {x}^{2} }{1 - \sqrt{1 + {x}^{2} } } [/tex]
x- 0
[tex] \frac{ {x}^{2} }{1 - \sqrt{1 + {x}^{2} } } [/tex]
1 Jawaban
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1. Jawaban ahmad1904
[tex] \frac{ {x}^{2} }{1 - \sqrt{1 + {x}^{2} } } \times \frac{1 + \sqrt{1 + {x}^{2} } }{1 + \sqrt{1 + {x}^{2} } } \\ = \frac{( {x}^{2})(1 + \sqrt{1 + {x}^{2} } }{1 - (1 + {x}^{2} )} \\ = \frac{( {x}^{2})(1 + \sqrt{1 + {x}^{2} } ) }{1 - 1 - {x}^{2} } \\ = \frac{( {x}^{2})(1 + \sqrt{1 + {x}^{2} } ) }{ - {x}^{2} } \\ = coret\\ = \frac{(1 + \sqrt{1 + {x}^{2} } )}{ - 1} \\ = \frac{1 + \sqrt{1 + {0}^{2} } }{ - 1} \\ = \frac{1 + \sqrt{1} }{ - 1} \\ = \frac{2}{ - 1} = - 2[/tex]