What is the limit as x approaches 3pi+of 1+csc(x) ?

The limit as x approaches 3pi+of 1+csc(x) is -infinity

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limit as x approaches 3pi+of 1+csc(x)

x \to 3 π + lim (1 + csc (x))

- \infty

Solution steps

x \to 3 π + lim (1 + csc (x))

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

With the exception of indeterminate form

= x \to 3 π + lim (1) + x \to 3 π + lim (csc (x))

x \to 3 π + lim (1) = 1

x \to 3 π + lim (csc (x)) = - \infty

= 1 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

(5^{x})^{^{'}}

\frac{\partial}{\partial x} (14 x^{3} cos (7 x^{2} y))

f (x) = 4, g (x) = \frac{e ^{x}}{5}, x = 0

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

\frac{d}{d x} (7 - 2 x^{2})

What is the limit as x approaches 3pi+of 1+csc(x) ?
The limit as x approaches 3pi+of 1+csc(x) is -infinity