What is the limit as x approaches 0 of (x^2-6x+9)/(x^2) ?

The limit as x approaches 0 of (x^2-6x+9)/(x^2) is infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of (x^2-6x+9)/(x^2)

x \to 0 lim (\frac{x ^{2} - 6 x + 9}{x ^{2}})

\infty

Solution steps

x \to 0 lim (\frac{x ^{2} - 6 x + 9}{x ^{2}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{x ^{2} - 6 x + 9}{x ^{2}}) = \infty

x \to 0 + lim (\frac{x ^{2} - 6 x + 9}{x ^{2}}) = \infty

= \infty

What is the limit as x approaches 0 of (x^2-6x+9)/(x^2) ?
The limit as x approaches 0 of (x^2-6x+9)/(x^2) is infinity