What is the limit as x approaches pi+of x/(sin(x)) ?

The limit as x approaches pi+of x/(sin(x)) is -infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches pi+of x/(sin(x))

x \to π + lim (\frac{x}{sin ( x )})

- \infty

Solution steps

x \to π + lim (\frac{x}{sin ( x )})

Rewrite using trig identities

= x \to π + lim (x csc (x))

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 π + lim (x) \cdot x \to π + lim (csc (x))

x \to π + lim (x) = π

x \to π + lim (csc (x)) = - \infty

= π (- \infty)

Apply Infinity Property:

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

= - \infty

\frac{d}{d x} (15 ln (x))

f (x) = 8 x (x^{2} + 3)^{3}

sin^{8} (x)

\int \frac{e ^{2 x}}{4} d x

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

What is the limit as x approaches pi+of x/(sin(x)) ?
The limit as x approaches pi+of x/(sin(x)) is -infinity