What is the limit as x approaches 4+of (7x-1)/(x-4) ?

The limit as x approaches 4+of (7x-1)/(x-4) is infinity

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limit as x approaches 4+of (7x-1)/(x-4)

x \to 4 + lim (\frac{7 x - 1}{x - 4})

\infty

Solution steps

x \to 4 + lim (\frac{7 x - 1}{x - 4})

\frac{7 x - 1}{x - 4} = (7 x - 1) \frac{1}{x - 4}

= x \to 4 + lim ((7 x - 1) \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 (7 x - 1) \cdot x \to 4 + lim (\frac{1}{x - 4})

x \to 4 + lim (7 x - 1) = 27

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

= 27 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

y^{^{''}} - 8 y^{^{'}} = 64 t

\frac{d}{d x} (3 + 7 x)

\int_{0}^{0} x^{2} d x

\frac{\partial}{\partial x} (ln (\frac{x}{20}))

x \to 0 lim (x \cdot \frac{1}{x})

What is the limit as x approaches 4+of (7x-1)/(x-4) ?
The limit as x approaches 4+of (7x-1)/(x-4) is infinity