What is the limit as x approaches 4 of 1/x+x^{-1} ?

The limit as x approaches 4 of 1/x+x^{-1} is 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 4 of 1/x+x^{-1}

x \to 4 lim (\frac{1}{x} + x^{- 1})

\frac{1}{2}

Decimal

0.5

Solution steps

x \to 4 lim (\frac{1}{x} + x^{- 1})

Plug in the value

x = 4

= \frac{1}{4} + 4^{- 1}

Simplify

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

= \frac{1}{2}

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

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

x \to - \infty lim (- 5 \cdot (x))

x \to 6 lim (\frac{x}{3})

x \to 0 lim (\frac{( 1 + x ) ^{x} - e}{x})

What is the limit as x approaches 4 of 1/x+x^{-1} ?
The limit as x approaches 4 of 1/x+x^{-1} is 1/2