What is the limit as y approaches 6+of (y+6)/(y^2-36) ?

The limit as y approaches 6+of (y+6)/(y^2-36) is infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as y approaches 6+of (y+6)/(y^2-36)

y \to 6 + lim (\frac{y + 6}{y ^{2} - 36})

\infty

Solution steps

y \to 6 + lim (\frac{y + 6}{y ^{2} - 36})

Simplify

\frac{y + 6}{y ^{2} - 36} : \frac{1}{y - 6}

= y \to 6 + lim (\frac{1}{y - 6})

For

y

approaching

6

from the right

, y > 6 \Rightarrow y - 6 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

y = 10 x, y = x^{2} - 11, x

x^{^{''}} + 2 x^{^{'}} + 2 x = 2

\frac{d}{d x} (- 2 ln (cos (x)))

\int x \cdot e^{2 x^{2}} d x

y = \frac{x}{x + 5}

What is the limit as y approaches 6+of (y+6)/(y^2-36) ?
The limit as y approaches 6+of (y+6)/(y^2-36) is infinity