What is the limit as x approaches 16 of ((4-sqrt(x)))/((16x-x^2)) ?

The limit as x approaches 16 of ((4-sqrt(x)))/((16x-x^2)) is 1/128

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 16 of ((4-sqrt(x)))/((16x-x^2))

x \to 16 lim (\frac{( 4 - x )}{( 16 x - x ^{2} )})

\frac{1}{128}

Decimal Notation

0.0078125

Solution steps

x \to 16 lim (\frac{4 - x}{16 x - x ^{2}})

Rationalize numerator

\frac{4 - x}{16 x - x ^{2}} : \frac{1}{x ( x + 4 )}

= x \to 16 lim (\frac{1}{x ( x + 4 )})

Plug in the value

x = 16

= \frac{1}{16 ( 16 + 4 )}

Simplify

\frac{1}{16 ( 16 + 4 )} : \frac{1}{128}

= \frac{1}{128}

\int (1 - t^{- 0.52}) d t

y^{^{'}} = y - 1

\int_{0}^{10} (6 e^{0.2 x} + 2) d x

\int \frac{3 x}{2 x} d x

x \to 4 + lim (\frac{6 x}{x - 4})

What is the limit as x approaches 16 of ((4-sqrt(x)))/((16x-x^2)) ?
The limit as x approaches 16 of ((4-sqrt(x)))/((16x-x^2)) is 1/128