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

The limit as x approaches 0 of (csc(x))/(3x) is infinity

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

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

\infty

Solution steps

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

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

= \infty

What is the limit as x approaches 0 of (csc(x))/(3x) ?
The limit as x approaches 0 of (csc(x))/(3x) is infinity