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

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

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

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

1

Solution steps

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

x + 3

is positive when

x \to - 3 +

. Therefore

∣ x + 3 ∣ = x + 3

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

Simplify

= x \to - 3 + lim (1)

x \to a lim c = c

= 1

\int_{- 4}^{0} y + 4 d y

\int \frac{10 x + 2}{( 3 x + 1 ) ( x - 1 )} d x

\int x^{2} + 8 d x

d er i v a t i v e y

9 y^{^{''}} + 6 y^{^{'}} + y = 0

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