What is the limit as x approaches 7-of ((x-9))/(x-7) ?

The limit as x approaches 7-of ((x-9))/(x-7) is infinity

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limit as x approaches 7-of ((x-9))/(x-7)

x \to 7 - lim (\frac{( x - 9 )}{x - 7})

\infty

Solution steps

x \to 7 - lim (\frac{x - 9}{x - 7})

\frac{x - 9}{x - 7} = (x - 9) \frac{1}{x - 7}

= x \to 7 - lim ((x - 9) \frac{1}{x - 7})

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 7 - lim (x - 9) \cdot x \to 7 - lim (\frac{1}{x - 7})

x \to 7 - lim (x - 9) = - 2

x \to 7 - lim (\frac{1}{x - 7}) = - \infty

= (- 2) (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

t^{5} e^{3 t}

\int \frac{4}{x ^{2} - 8 x} d x

y^{^{''}} + 16 y = 2 sin (4 x)

y^{^{''}} - k^{2} y = 0

x^{4} - 8 x^{3} + 2

What is the limit as x approaches 7-of ((x-9))/(x-7) ?
The limit as x approaches 7-of ((x-9))/(x-7) is infinity