What is the limit as x approaches 0 of (cot(5x))/x ?

The limit as x approaches 0 of (cot(5x))/x is infinity

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limit as x approaches 0 of (cot(5x))/x

x \to 0 lim (\frac{cot ( 5 x )}{x})

\infty

Solution steps

x \to 0 lim (\frac{cot ( 5 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{cot ( 5 x )}{x}) = \infty

x \to 0 + lim (\frac{cot ( 5 x )}{x}) = \infty

= \infty

x \to 2 lim (3^{2 x - 1})

x \to 1 lim (- ln (1 - x))

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

x \to 0 lim (\frac{x ^{2}}{x ^{2} - 1})

x \to 3 - lim (\frac{x + 4}{x + 3})

What is the limit as x approaches 0 of (cot(5x))/x ?
The limit as x approaches 0 of (cot(5x))/x is infinity