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

The limit as x approaches 4-of x/(sqrt(x)-2) is -infinity

Popular >

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

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

- \infty

Solution steps

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

\frac{x}{x - 2} = x \frac{1}{x - 2}

= x \to 4 - lim (x \frac{1}{x - 2})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 4 - lim (x) \cdot x \to 4 - lim (\frac{1}{x - 2})

x \to 4 - lim (x) = 4

x \to 4 - lim (\frac{1}{x - 2}) = - \infty

= 4 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

\frac{1}{x}, 1, 33

\int \frac{42 x ^{2}}{x ^{4} - 29 x ^{2} + 100} d x

x^{2} + 8 y^{2} = 8

\int_{0}^{3} \frac{1}{( x + 2 ) ^{4}} d x

t \to 0 lim (\frac{e ^{- 2 t} - 1}{t})

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