What is the limit as x approaches 1 of 2^{-x}-2^x ?

The limit as x approaches 1 of 2^{-x}-2^x is -3/2

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 2^{-x}-2^x

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

- \frac{3}{2}

Decimal

- 1.5

Solution steps

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

Plug in the value

x = 1

= 2^{- 1} - 2^{1}

Simplify

2^{- 1} - 2^{1} : - \frac{3}{2}

= - \frac{3}{2}

x \to 0 lim (x^{5} \cdot ln (x))

x \to 0 + lim (\frac{x}{ln ( 5 x + 1 )})

x \to \infty lim (11)

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

x \to \frac{π}{2} lim (x^{2} tan (x))

What is the limit as x approaches 1 of 2^{-x}-2^x ?
The limit as x approaches 1 of 2^{-x}-2^x is -3/2