What is the limit as x approaches 0 of (x-4)/(x-1) ?

The limit as x approaches 0 of (x-4)/(x-1) is 4

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limit as x approaches 0 of (x-4)/(x-1)

x \to 0 lim (\frac{x - 4}{x - 1})

4

Solution steps

x \to 0 lim (\frac{x - 4}{x - 1})

Plug in the value

x = 0

= \frac{0 - 4}{0 - 1}

Simplify

= 4

x \to - 4 lim (5 x^{2} - 9 x - 8)

x \to 0 lim (\frac{1}{4} x^{2})

z \to 1 + i lim (3 z^{2} + z - 5)

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

t \to 1 lim (sin (- 4 π t))

What is the limit as x approaches 0 of (x-4)/(x-1) ?
The limit as x approaches 0 of (x-4)/(x-1) is 4