Question

evalute it plzzzzzzz nd solve it

Answer 1

heya...!!!!


$lim \frac{ \sqrt{3 + x} - \sqrt{5 - x} }{ {x}^{2} - 1 } \\ x - > 1 \\ \\ = > lim \frac{ \sqrt{3 + x} - \sqrt{5 - x} }{ {x}^{2} - 1 } \times \frac{(\sqrt{3 + x} + \sqrt{5 - x} )}{(\sqrt{3 + x} + \sqrt{5 - x} )} \\ x - > 1 \\ \\ = > lim \frac{ {3 + x} - {5 + x} }{( {x}^{2} - 1)(\sqrt{3 + x} + \sqrt{5 - x} )} \\ x - > 1 \\ \\ lim \frac{2(x - 1)}{(x - 1)(x + 1)( \sqrt{3 + x} - \sqrt{5 - x} ) } \\ x- > 1 \\ \\ = > lim \frac{2}{(1 + 1)( \sqrt{3 + 1} + \sqrt{5 - 1}) } \\ x - > 1 \\ \\ = > lim \frac{2}{2 \times (2 + 2)} \\ x - > 1 \\ \\ = > \frac{1}{4}$