What is the limit as x approaches 0+of (|8x|)/x ?

The limit as x approaches 0+of (|8x|)/x is 8

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limit as x approaches 0+of (|8x|)/x

x \to 0 + lim (\frac{∣ 8 x ∣}{x})

8

Solution steps

x \to 0 + lim (\frac{∣ 8 x ∣}{x})

8 x

is positive when

x \to 0 +

. Therefore

∣ 8 x ∣ = 8 x

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

Cancel the common factor:

x

= x \to 0 + lim (8)

x \to a lim c = c

= 8

y = sin^{2} (π x), [0, 1]

\frac{d}{d x} (\frac{5}{x + 4})

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

\int_{0}^{2} - 2 x^{2} - 4 d x

y = \frac{1}{2} x, y = \frac{6}{x}

What is the limit as x approaches 0+of (|8x|)/x ?
The limit as x approaches 0+of (|8x|)/x is 8