Nilai dari lim. 3-√4x+1 : x-2 x:2.... Question from @Ferisanurulk5

December 2018 2 5 Report

Nilai dari lim. 3-√4x+1 : x-2
x:2.

DB45 Lim(x -> 2) ( 3 - √(4x +1) ) / ( x - 2) =
lim(x->2) { (3 - √(4x+1)}{(3 + √(4x+1)} / { (x-2)(3 +√(4x+1) }
lim(x->2) {9 -(4x+1)} / {(x-2)(3 + √(4x+1)}
lim(x->2) (8 - 4x) / (x-2)(3 +√(4x+1))
lim(x->2) -4(x- 2) /(x-2) (3 +√(4x+1)} ....(x-2) dicoret
.
lim(x->2) -4/ (3 + √(4x+1))
x= 2 --> -4/ (3 +√9) = -4/6 = - 2/3

1 votes Thanks 1

mbrainly $\displaystyle =\lim_{x\to\,2}\frac{3-\sqrt{4x+1}}{x-2}\times\frac{3+\sqrt{4x+1}}{3+\sqrt{4x+1}}\\\\\\=\lim_{x\to\,2}\frac{9-(4x+1)}{(x-2)(3+\sqrt{4x+1})}\\\\\\=\lim_{x\to\,2}\frac{-4(x-2)}{(x-2)(3+\sqrt{4x+1})}\\\\\\=\lim_{x\to\,2}\frac{-4}{(3+\sqrt{4x+1})}\\\\\\=\frac{-4}{(3+\sqrt{4.2+1})}\\\\\\=\frac{-4}{(3+\sqrt{9})}\\\\\\=\frac{-4}{6}\\\\\\=\boxed{-\frac{2}{3}}$

2 votes Thanks 2

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