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

The limit as x approaches 2 of ln(x/(1+x)) is ln(2/3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 2 of ln(x/(1+x))

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

ln (\frac{2}{3})

Decimal Notation

- 0.40546 \dots

Solution steps

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

Plug in the value

x = 2

= ln (\frac{2}{1 + 2})

Simplify

= ln (\frac{2}{3})

x \to 0 lim (cos^{2} (x) + 1)

x \to \infty lim (16 x^{3})

x \to 0 lim (x^{4} sin (\frac{7}{x}))

x \to - 3 - lim (\frac{x + 3}{x ^{2} - 9})

x \to \infty lim (+ x^{2})

What is the limit as x approaches 2 of ln(x/(1+x)) ?
The limit as x approaches 2 of ln(x/(1+x)) is ln(2/3)