What is the limit as x approaches 0-of csc(x)(x-1) ?

The limit as x approaches 0-of csc(x)(x-1) is infinity

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limit as x approaches 0-of csc(x)(x-1)

x \to 0 - lim (csc (x) (x - 1))

\infty

Solution steps

x \to 0 - lim (csc (x) (x - 1))

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

With the exception of indeterminate form

= x \to 0 - lim (csc (x)) \cdot x \to 0 - lim (x - 1)

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

x \to 0 - lim (x - 1) = - 1

= (- \infty) (- 1)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

\int_{- \infty}^{0} x^{2} e^{x} d x

\frac{\partial}{\partial x} (\frac{e ^{x z + y}}{z ^{2} + w})

\frac{d}{d x} (\frac{1}{( x + 9 ) ^{2}})

\frac{\partial}{\partial x} ((- x^{4} + 7 y^{2} + 3 y)^{6})

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

What is the limit as x approaches 0-of csc(x)(x-1) ?
The limit as x approaches 0-of csc(x)(x-1) is infinity