What is the limit as x approaches 4 of (|x+4|)/(x+4) ?

The limit as x approaches 4 of (|x+4|)/(x+4) is 1

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limit as x approaches 4 of (|x+4|)/(x+4)

x \to 4 lim (\frac{∣ x + 4 ∣}{x + 4})

1

Solution steps

x \to 4 lim (\frac{∣ x + 4 ∣}{x + 4})

Plug in the value

x = 4

= \frac{∣ 4 + 4 ∣}{4 + 4}

Simplify

\frac{∣ 4 + 4 ∣}{4 + 4} : 1

= 1

\int \frac{5 x ^{2} + 8 x + 5}{( x - 5 ) ( x ^{2} + 9 )} d x

f (x) = 8 x sin (x)

\int_{1}^{9} \frac{x ^{2} - 1}{x} d x

f (x) = x, g (x) = - x, x = 1, x = 4

What is the limit as x approaches 4 of (|x+4|)/(x+4) ?
The limit as x approaches 4 of (|x+4|)/(x+4) is 1