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

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

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

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

diverges

Solution steps

x \to 0 lim (\frac{sin ( x )}{∣ x ∣})

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

then the limit does not exist

x \to 0 + lim (\frac{sin ( x )}{∣ x ∣}) = 1

x \to 0 - lim (\frac{sin ( x )}{∣ x ∣}) = - 1

= diverges

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