What is the limit as x approaches 0 of (x-5)/(x-1) ?

The limit as x approaches 0 of (x-5)/(x-1) is 5

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limit as x approaches 0 of (x-5)/(x-1)

x \to 0 lim (\frac{x - 5}{x - 1})

5

Solution steps

x \to 0 lim (\frac{x - 5}{x - 1})

Plug in the value

x = 0

= \frac{0 - 5}{0 - 1}

Simplify

= 5

y = (5)^{x}

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

\frac{\partial}{\partial x} (x^{2} z + y, x + y, y + z^{2})

4 x^{2} \frac{d y}{d x} = \frac{d y}{d x} + 9 x e^{- y}

x^{2} - 2 x + 3

What is the limit as x approaches 0 of (x-5)/(x-1) ?
The limit as x approaches 0 of (x-5)/(x-1) is 5