What is the limit as x approaches 4+of (x-5)/(x-4) ?

The limit as x approaches 4+of (x-5)/(x-4) is -infinity

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limit as x approaches 4+of (x-5)/(x-4)

x \to 4 + lim (\frac{x - 5}{x - 4})

- \infty

Solution steps

x \to 4 + lim (\frac{x - 5}{x - 4})

\frac{x - 5}{x - 4} = (x - 5) \frac{1}{x - 4}

= x \to 4 + lim ((x - 5) \frac{1}{x - 4})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 4 + lim (x - 5) \cdot x \to 4 + lim (\frac{1}{x - 4})

x \to 4 + lim (x - 5) = - 1

x \to 4 + lim (\frac{1}{x - 4}) = \infty

= (- 1) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\int \frac{4 x ^{3}}{x ^{4} - 2} d x

\frac{\partial}{\partial x} (cos (x^{2} + y^{2}) \cdot 2 x)

\int_{0}^{π} cos^{4} (2 t) d t

\frac{d}{d x} ((x^{3} - x)^{3})

x^{2} y^{^{'}} + 2 x y = sin (3 x)

What is the limit as x approaches 4+of (x-5)/(x-4) ?
The limit as x approaches 4+of (x-5)/(x-4) is -infinity