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

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

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limit as x approaches 1-of (x-2x^{-1})/(4x^{-1)}

x \to 1 - lim (\frac{x - 2 x ^{- 1}}{4 x ^{- 1}})

- \frac{1}{4}

Decimal

- 0.25

Solution steps

x \to 1 - lim (\frac{x - 2 x ^{- 1}}{4 x ^{- 1}})

Plug in the value

x = 1

= \frac{1 - 2 \cdot 1 ^{- 1}}{4 \cdot 1 ^{- 1}}

Simplify

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

= - \frac{1}{4}

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