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

The limit as x approaches 1-of-2/(sqrt(1-x)) 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 1-of-2/(sqrt(1-x))

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

- \infty

Solution steps

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

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

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

For

x

approaching

1

from the left

, x < 1 \Rightarrow 1 - x > 0

The denominator is a positive quantity approaching 0 from the right

= - 2 \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

x \to 0 lim (ln (sin (x)))

x, y = sin (x y)

(ln (2 x))^{2}

\int - e^{- 3 x} (x - 3) (x - 6) d x

(x + 1) \frac{d y}{d x} - x + 4 y = 0

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