What is the limit as x approaches 3+of sec((pix)/6) ?

The limit as x approaches 3+of sec((pix)/6) 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 3+of sec((pix)/6)

x \to 3 + lim (sec (\frac{π x}{6}))

- \infty

Solution steps

x \to 3 + lim (sec (\frac{π x}{6}))

Express with sin, cos

= x \to 3 + lim (\frac{1}{cos ( \frac{π x}{6} )})

For

x

approaching

3

from the right

, x > 3 \Rightarrow cos (\frac{π x}{6}) < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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

\frac{d}{d x} (72 cos (x))

(2 x + y) d x + (x + 6 y) d y = 0

\frac{\partial}{\partial x} (\frac{1}{x} + \frac{1}{y} + \frac{1}{z})

e^{e^{2 x^{2}}}

What is the limit as x approaches 3+of sec((pix)/6) ?
The limit as x approaches 3+of sec((pix)/6) is -infinity