1). limit 4-X² / 3-√X²+5
X⇒ 2
2). limit X-1 / √X²+3-2
X⇒ 1
X⇒ 2
2). limit X-1 / √X²+3-2
X⇒ 1
IcukSugiarto
![\displaystyle\\\\=\lim_{x \to 2}~ \frac{(4-x^2)(3+ \sqrt{x^2+5})}{4- x^2 }~~~~~~~~~~~~~~~~~[coret\ yg\ sama]\\\\=\lim_{x \to 2}~ 3+ \sqrt{x^2+5}\\\\$Subtitusi nilai x :$\\\\=~ 3+ \sqrt{(2)^2+5}\\=~ 3+ \sqrt{4+5}\\=~ 3+ \sqrt{9}\\=~ 3+ 3\\=~ 6](https://tex.z-dn.net/?f=%5Cdisplaystyle%5C%5C%5C%5C%3D%5Clim_%7Bx+%5Cto+2%7D%7E+%5Cfrac%7B%284-x%5E2%29%283%2B+%5Csqrt%7Bx%5E2%2B5%7D%29%7D%7B4-+x%5E2+%7D%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%5Bcoret%5C+yg%5C+sama%5D%5C%5C%5C%5C%3D%5Clim_%7Bx+%5Cto+2%7D%7E+3%2B+%5Csqrt%7Bx%5E2%2B5%7D%5C%5C%5C%5C%24Subtitusi+nilai+x+%3A%24%5C%5C%5C%5C%3D%7E+3%2B+%5Csqrt%7B%282%29%5E2%2B5%7D%5C%5C%3D%7E+3%2B+%5Csqrt%7B4%2B5%7D%5C%5C%3D%7E+3%2B+%5Csqrt%7B9%7D%5C%5C%3D%7E+3%2B+3%5C%5C%3D%7E+6 "\displaystyle\\\\=\lim_{x \to 2}~ \frac{(4-x^2)(3+ \sqrt{x^2+5})}{4- x^2 }~~~~~~~~~~~~~~~~~[coret\ yg\ sama]\\\\=\lim_{x \to 2}~ 3+ \sqrt{x^2+5}\\\\$Subtitusi nilai x :$\\\\=~ 3+ \sqrt{(2)^2+5}\\=~ 3+ \sqrt{4+5}\\=~ 3+ \sqrt{9}\\=~ 3+ 3\\=~ 6")
4 votes
Thanks 4
More Questions From This User See All