What is the limit as x approaches 3+of (x-3)/(sqrt(x-2)-\sqrt{4-x)} ?

The limit as x approaches 3+of (x-3)/(sqrt(x-2)-\sqrt{4-x)} is 1

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 (x-3)/(sqrt(x-2)-\sqrt{4-x)}

x \to 3 + lim (\frac{x - 3}{x - 2 - 4 - x})

1

Solution steps

x \to 3 + lim (\frac{x - 3}{x - 2 - 4 - x})

Rationalize denominator

\frac{x - 3}{x - 2 - 4 - x} : \frac{x - 2 + - x + 4}{2}

= x \to 3 + lim (\frac{x - 2 + - x + 4}{2})

Plug in the value

x = 3

= \frac{3 - 2 + - 3 + 4}{2}

Simplify

\frac{3 - 2 + - 3 + 4}{2} : 1

= 1

n = 1 \sum \infty i^{2 n}

n = 2 \sum \infty n (\frac{3}{4})^{n}

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

x \to 7 lim (x + 2 - 3)

y^{^{''}} - y = x^{2} e^{x} + 5

What is the limit as x approaches 3+of (x-3)/(sqrt(x-2)-\sqrt{4-x)} ?
The limit as x approaches 3+of (x-3)/(sqrt(x-2)-\sqrt{4-x)} is 1