What is the limit as x approaches 0+of-csc^2(x) ?

The limit as x approaches 0+of-csc^2(x) is -infinity

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limit as x approaches 0+of-csc^2(x)

x \to 0 + lim (- csc^{2} (x))

- \infty

Solution steps

x \to 0 + lim (- csc^{2} (x))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - x \to 0 + lim (csc^{2} (x))

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

With the exception of indeterminate form

= - (x \to 0 + lim (csc (x)))^{2}

Apply the common limit:

x \to 0 + lim (csc (x)) = \infty

= - \infty^{2}

Apply Infinity Property:

\infty^{c} = \infty

= - \infty

\frac{d}{d x} (x^{2} (x + 3)^{10})

y = x^{3} - 2 x^{2} + 2, y = 3 x^{2} + 3 x - 13

\frac{d}{d x} f^{- 1} (x) = 2 x + ln (x + 1)

\int (1 - x)^{- 2} d x

\frac{\partial ^{2}}{\partial x \partial y} (x y^{2} - 6 x^{2} - 3 y^{2})

What is the limit as x approaches 0+of-csc^2(x) ?
The limit as x approaches 0+of-csc^2(x) is -infinity