What is the limit as x approaches 3+of (sqrt(3))/(sqrt(x)-\sqrt{3)}-2x ?

The limit as x approaches 3+of (sqrt(3))/(sqrt(x)-\sqrt{3)}-2x is infinity

Popular >

limit as x approaches 3+of (sqrt(3))/(sqrt(x)-\sqrt{3)}-2x

x \to 3 + lim (\frac{3}{x - 3} - 2 x)

\infty

Solution steps

x \to 3 + lim (\frac{3}{x - 3} - 2 x)

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

With the exception of indeterminate form

= x \to 3 + lim (\frac{3}{x - 3}) - x \to 3 + lim (2 x)

x \to 3 + lim (\frac{3}{x - 3}) = \infty

x \to 3 + lim (2 x) = 6

= \infty - 6

Apply Infinity Property:

\infty - c = \infty

= \infty

\frac{d}{d x} (ln (3 x + 5 y))

\frac{d}{d x} (\frac{1}{4 x - 7})

x \to 0 + lim ((1 + tan (x))^{\frac{3}{x}})

\frac{\partial}{\partial x} (56 y^{6} x^{6} - 42 y^{5} x^{5})

\frac{d}{d x} (arcsin (x) + 1 - x^{2})

What is the limit as x approaches 3+of (sqrt(3))/(sqrt(x)-\sqrt{3)}-2x ?
The limit as x approaches 3+of (sqrt(3))/(sqrt(x)-\sqrt{3)}-2x is infinity