What is the limit as x approaches-5 of (|x+5|)/(x+5) ?

The limit as x approaches-5 of (|x+5|)/(x+5) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches-5 of (|x+5|)/(x+5)

x \to - 5 lim (\frac{∣ x + 5 ∣}{x + 5})

diverges

Solution steps

x \to - 5 lim (\frac{∣ x + 5 ∣}{x + 5})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to - 5 + lim (\frac{∣ x + 5 ∣}{x + 5}) = 1

x \to - 5 - lim (\frac{∣ x + 5 ∣}{x + 5}) = - 1

= diverges

y = \frac{4}{x}, y = \frac{4}{x ^{2}}, x = 5

\int 1 + \frac{1}{x} d x

\frac{d}{d x} (6 e^{5 x} + e^{- x^{2}})

x^{2}, 4 x - x^{2}

\int \frac{1}{25 e ^{- 4 x} + e ^{4 x}} d x

What is the limit as x approaches-5 of (|x+5|)/(x+5) ?
The limit as x approaches-5 of (|x+5|)/(x+5) is diverges