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

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

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limit as x approaches 0 of 2/(sin^2(x))

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

\infty

Solution steps

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

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

= \infty

x \to 7 lim (\frac{4}{x - 7})

x \to 0 - lim (\frac{x}{tan ( x )})

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

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

x \to 5 + lim (\frac{x + 1}{x + 5})

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