What is the limit as x approaches 0 of ln|sin(x)| ?

The limit as x approaches 0 of ln|sin(x)| is -infinity

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limit as x approaches 0 of ln|sin(x)|

x \to 0 lim (ln ∣ sin (x) ∣)

- \infty

Solution steps

x \to 0 lim (ln ∣ sin (x) ∣)

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

then

x \to a lim f (x) = L

x \to 0 - lim (ln ∣ sin (x) ∣) = - \infty

x \to 0 + lim (ln ∣ sin (x) ∣) = - \infty

= - \infty

\frac{d}{d x} (\frac{4 x ^{3}}{3} - x + 2 e^{x})

18 y^{^{''}} - 9 y^{^{'}} - 5 y = 0

\frac{d y}{d x} + 4 x y = 0

(10, - 3), (7, 1)

x \to 0 lim (x^{s i n (x)})

What is the limit as x approaches 0 of ln|sin(x)| ?
The limit as x approaches 0 of ln|sin(x)| is -infinity