Lim √2x+2-√x+3x->1 x²-1

Lim √2x+2-√x+3x->1 x²-1

Jawaban Terkonfirmasi

$lim_{x to 1} frac{ sqrt{2x + 2} - sqrt{x + 3} }{x^{2} - 1}. frac{sqrt{2x + 2} + sqrt{x + 3}}{sqrt{2x + 2} + sqrt{x + 3}} \ lim_{x to 1} frac{(2x + 2)-( x + 3) }{(x^{2} - 1)(sqrt{2x + 2} + sqrt{x + 3})} \ lim_{x to 1} frac{(x - 1) }{(x - 1)(x + 1)(sqrt{2x + 2} + sqrt{x + 3})} \ lim_{x to 1} frac{1}{(x + 1)(sqrt{2x + 2} + sqrt{x + 3})} \ = frac{1}{(1 + 1)(sqrt{2.1+ 2} + sqrt{1 + 3})} \ = frac{1}{8}$