Lim
x->1 1-X^2 / 2-√x+3
ket : akar (x+3)
x->1 1-X^2 / 2-√x+3
ket : akar (x+3)
IcukSugiarto
![\displaystyle\\\\=\lim_{x \to 1} \frac{-(x-1)(x+1)(2+\sqrt{x+3})}{1- x}\\\\=\lim_{x \to 1} \frac{-(x-1)(x+1)(2+\sqrt{x+3})}{- x+1}\\\\=\lim_{x \to 1} \frac{-(x-1)(x+1)(2+\sqrt{x+3})}{- (x-1)}~~~~~~~~~~~~~[Coret\ yang\ sama]\\\\=\lim_{x \to 1}~ (x+1)(2+\sqrt{x+3})\\\\=(1+1)(2+\sqrt{1+3})\\=(2)(2+\sqrt{4})\\=(2)(2+2)\\=(2)(4)\\=8](https://tex.z-dn.net/?f=%5Cdisplaystyle%5C%5C%5C%5C%3D%5Clim_%7Bx+%5Cto+1%7D++%5Cfrac%7B-%28x-1%29%28x%2B1%29%282%2B%5Csqrt%7Bx%2B3%7D%29%7D%7B1-+x%7D%5C%5C%5C%5C%3D%5Clim_%7Bx+%5Cto+1%7D++%5Cfrac%7B-%28x-1%29%28x%2B1%29%282%2B%5Csqrt%7Bx%2B3%7D%29%7D%7B-+x%2B1%7D%5C%5C%5C%5C%3D%5Clim_%7Bx+%5Cto+1%7D++%5Cfrac%7B-%28x-1%29%28x%2B1%29%282%2B%5Csqrt%7Bx%2B3%7D%29%7D%7B-+%28x-1%29%7D%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%5BCoret%5C+yang%5C+sama%5D%5C%5C%5C%5C%3D%5Clim_%7Bx+%5Cto+1%7D%7E+%28x%2B1%29%282%2B%5Csqrt%7Bx%2B3%7D%29%5C%5C%5C%5C%3D%281%2B1%29%282%2B%5Csqrt%7B1%2B3%7D%29%5C%5C%3D%282%29%282%2B%5Csqrt%7B4%7D%29%5C%5C%3D%282%29%282%2B2%29%5C%5C%3D%282%29%284%29%5C%5C%3D8 "\displaystyle\\\\=\lim_{x \to 1} \frac{-(x-1)(x+1)(2+\sqrt{x+3})}{1- x}\\\\=\lim_{x \to 1} \frac{-(x-1)(x+1)(2+\sqrt{x+3})}{- x+1}\\\\=\lim_{x \to 1} \frac{-(x-1)(x+1)(2+\sqrt{x+3})}{- (x-1)}~~~~~~~~~~~~~[Coret\ yang\ sama]\\\\=\lim_{x \to 1}~ (x+1)(2+\sqrt{x+3})\\\\=(1+1)(2+\sqrt{1+3})\\=(2)(2+\sqrt{4})\\=(2)(2+2)\\=(2)(4)\\=8")
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