What is the limit as x approaches 0-of (3x-1)/(2x) ?

The limit as x approaches 0-of (3x-1)/(2x) is infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 0-of (3x-1)/(2x)

x \to 0 - lim (\frac{3 x - 1}{2 x})

\infty

Solution steps

x \to 0 - lim (\frac{3 x - 1}{2 x})

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

= \frac{1}{2} \cdot x \to 0 - lim (\frac{3 x - 1}{x})

Divide by highest denominator power:

3 - \frac{1}{x}

= \frac{1}{2} \cdot x \to 0 - lim (3 - \frac{1}{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

= \frac{1}{2} (x \to 0 - lim (3) - x \to 0 - lim (\frac{1}{x}))

x \to 0 - lim (3) = 3

x \to 0 - lim (\frac{1}{x}) = - \infty

= \frac{1}{2} (3 - (- \infty))

Apply Infinity Property:

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

= \infty

\int \frac{x}{a x ^{2} + b} d x

\int cot (23 x) d x

x \to 3 lim (x^{2} - x + 1)

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

\int 9 t sin^{2} (t) d t

What is the limit as x approaches 0-of (3x-1)/(2x) ?
The limit as x approaches 0-of (3x-1)/(2x) is infinity