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

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

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

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

\infty

Solution steps

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

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

= \infty

\int_{0}^{1} 30 \frac{1}{x ^{p}} d x

\frac{4 x + x ^{2}}{( 2 + x ) ^{2}}

\int \frac{u}{1 + 2 u} d u

f (x) = 2 x^{2} - 12 x + 8

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