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 )})

For

x

approaching

0

from the right

, x > 0 \Rightarrow sin^{2} (x) > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\frac{d}{d x} (\frac{24 x ( x ^{2} + 1 )}{( 1 - x ^{2} ) ^{4}})

\int \frac{x ^{2} ln ( x )}{2} d x

n = 0 \sum \infty \frac{n ^{2}}{e ^{n}}

\int_{0}^{π} (cos (x))^{6} d x

\int_{2}^{4} 2 cos (π x) d x

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