What is the limit as x approaches-4-of (2-x)/(4-x) ?

The limit as x approaches-4-of (2-x)/(4-x) is 3/4

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limit as x approaches-4-of (2-x)/(4-x)

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

\frac{3}{4}

Decimal

0.75

Solution steps

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

Plug in the value

x = - 4

= \frac{2 - ( - 4 )}{4 - ( - 4 )}

Simplify

\frac{2 - ( - 4 )}{4 - ( - 4 )} : \frac{3}{4}

= \frac{3}{4}

What is the limit as x approaches-4-of (2-x)/(4-x) ?
The limit as x approaches-4-of (2-x)/(4-x) is 3/4