What is the limit as x approaches 0 of 1/(tan^2(x)) ?

The limit as x approaches 0 of 1/(tan^2(x)) is infinity

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limit as x approaches 0 of 1/(tan^2(x))

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

\infty

Solution steps

x \to 0 lim (\frac{1}{tan ^{2} ( 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{1}{tan ^{2} ( x )}) = \infty

x \to 0 + lim (\frac{1}{tan ^{2} ( x )}) = \infty

= \infty

x \to - 2 lim (\frac{x}{x - 2})

x \to 5 lim (x + x^{2})

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

x \to \frac{π}{4} lim (\frac{tan ( x )}{x})

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

What is the limit as x approaches 0 of 1/(tan^2(x)) ?
The limit as x approaches 0 of 1/(tan^2(x)) is infinity