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

The limit as x approaches 0 of xln(sin(x)) is Does not exist

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limit as x approaches 0 of xln(sin(x))

x \to 0 lim (x ln (sin (x)))

Does not exist

Solution steps

x \to 0 lim (x ln (sin (x)))

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

then the limit does not exist

x \to 0 + lim (x ln (sin (x))) = 0

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

Does not exist

= Does not exist

What is the limit as x approaches 0 of xln(sin(x)) ?
The limit as x approaches 0 of xln(sin(x)) is Does not exist