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

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

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

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

\infty

Solution steps

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

Divide by highest denominator power:

\frac{1}{1 - \frac{5}{x}}

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

For

x

approaching

5

from the right

, x > 5 \Rightarrow 1 - \frac{5}{x} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\int_{3}^{5} \frac{1}{x ^{2} - 1} d x

y = x^{2}, y = - 2 x^{2} + 12

\int_{l n (1)}^{l n (2)} e^{3 x} d x

\frac{d}{d x} (\frac{6 x ^{5}}{5} - 7 x)

x^{2} e^{2 x}

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