What is the limit as x approaches 0 of 3/(sin(x)) ?

The limit as x approaches 0 of 3/(sin(x)) is diverges

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limit as x approaches 0 of 3/(sin(x))

x \to 0 lim (\frac{3}{sin ( x )})

diverges

Solution steps

x \to 0 lim (\frac{3}{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 (\frac{3}{sin ( x )}) = \infty

x \to 0 - lim (\frac{3}{sin ( x )}) = - \infty

= diverges

x \to - 2 - lim (\frac{x ^{2}}{3 x + 6})

x \to 4 lim (5 x + 2)

x \to - 3 lim (2 x)

x \to - \frac{π}{2} + lim (- 3 x - \frac{π}{2})

x \to 0 + lim (2 x \cdot ln (x))

What is the limit as x approaches 0 of 3/(sin(x)) ?
The limit as x approaches 0 of 3/(sin(x)) is diverges