What is the limit as x approaches 3-of (3-x)/(|x-3|) ?

The limit as x approaches 3-of (3-x)/(|x-3|) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 3-of (3-x)/(|x-3|)

x \to 3 - lim (\frac{3 - x}{∣ x - 3 ∣})

1

Solution steps

x \to 3 - lim (\frac{3 - x}{∣ x - 3 ∣})

x - 3

is negative when

x \to 3 -

. Therefore

∣ x - 3 ∣ = - x + 3

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

Simplify

= x \to 3 - lim (1)

x \to a lim c = c

= 1

x \to + 0 lim (\frac{tan ( 8 x )}{x})

x \to 8 lim (2 x - 8)

x \to 0 lim (2 \frac{tan ^{2} ( x )}{x})

x \to - 2 lim (5 x^{3} + 3 x^{2} - 6)

x \to 0 lim (\frac{3 ^{x} - 5 ^{x}}{x})

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