What is the limit as x approaches e of ln|3x| ?

The limit as x approaches e of ln|3x| is ln(3e)

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limit as x approaches e of ln|3x|

x \to e lim (ln ∣ 3 x ∣)

ln (3 e)

Decimal

2.09861 \dots

Solution steps

x \to e lim (ln ∣ 3 x ∣)

Plug in the value

x = e

= ln ∣ 3 e ∣

Apply absolute rule:

∣ a ∣ = a, a \geq 0

∣ 3 e ∣ = 3 e

= ln (3 e)

25 y^{^{''}} - y = x e^{\frac{x}{5}}

1 e^{x}

y d x + (y cos (\frac{x}{y}) - x) d y = 0

x \to 4 lim (3 x + 2)

\frac{d ^{4}}{d x ^{4}} (15 e^{x^{2}})

What is the limit as x approaches e of ln|3x| ?
The limit as x approaches e of ln|3x| is ln(3e)