What is the limit as x approaches 1+of (x^2)/(x^2-x) ?

The limit as x approaches 1+of (x^2)/(x^2-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 1+of (x^2)/(x^2-x)

x \to 1 + lim (\frac{x ^{2}}{x ^{2} - x})

\infty

Solution steps

x \to 1 + lim (\frac{x ^{2}}{x ^{2} - x})

Simplify

\frac{x ^{2}}{x ^{2} - x} : \frac{x}{x - 1}

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

Divide by highest denominator power:

\frac{1}{1 - \frac{1}{x}}

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

For

x

approaching

1

from the right

, x > 1 \Rightarrow 1 - \frac{1}{x} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

y^{^{''}} + 36 y = 36 sec^{2} (6 x)

\frac{x ^{2}}{x ^{2} + 4}

(3 x)^{^{'}}

\frac{d}{d x} (tan (tan (x)))

\int x e^{2} d x

What is the limit as x approaches 1+of (x^2)/(x^2-x) ?
The limit as x approaches 1+of (x^2)/(x^2-x) is infinity