What is the limit as x approaches-3 of (x-4x)/(1-x) ?

The limit as x approaches-3 of (x-4x)/(1-x) is 9/4

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limit as x approaches-3 of (x-4x)/(1-x)

x \to - 3 lim (\frac{x - 4 x}{1 - x})

\frac{9}{4}

Decimal

2.25

Solution steps

x \to - 3 lim (\frac{x - 4 x}{1 - x})

Plug in the value

x = - 3

= \frac{- 3 - 4 ( - 3 )}{1 - ( - 3 )}

Simplify

= \frac{9}{4}

x \to - 3 lim ((3 x + 4) (7 x - 9))

x \to 0 lim ((x) (ln (x)))

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

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

x \to 3 lim (- 2 x)

What is the limit as x approaches-3 of (x-4x)/(1-x) ?
The limit as x approaches-3 of (x-4x)/(1-x) is 9/4