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

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

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

x \to 0 lim (\frac{∣ x ∣ sin ( x )}{x})

0

Solution steps

x \to 0 lim (\frac{∣ x ∣ sin ( x )}{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 (\frac{∣ x ∣ sin ( x )}{x}) = 0

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

= 0

t \to 0 + lim (ln (tan (t)))

x \to 2 lim (8 x - 5)

n \to \infty lim (1 + \frac{2}{n})

x \to 3 - lim (ln (9 - x^{2}))

x \to 1 lim (x^{2} - 1)

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