What is the limit as x approaches 3+of x/(x-3) ?

The limit as x approaches 3+of x/(x-3) is infinity

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limit as x approaches 3+of x/(x-3)

x \to 3 + lim (\frac{x}{x - 3})

\infty

Solution steps

x \to 3 + lim (\frac{x}{x - 3})

Divide by highest denominator power:

\frac{1}{1 - \frac{3}{x}}

= x \to 3 + lim (\frac{1}{1 - \frac{3}{x}})

For

x

approaching

3

from the right

, x > 3 \Rightarrow 1 - \frac{3}{x} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

(1 + x) y^{^{'}} - x y = x + x^{2}

\frac{\partial}{\partial y} (x^{2} e^{y^{2}})

\frac{d}{d x} (5 x^{3} 5 x - 2)

\int 1 - x^{2} + \frac{1}{2} x^{4} d x

x^{3} - 2 x^{2} + 3 x - 5, 2

What is the limit as x approaches 3+of x/(x-3) ?
The limit as x approaches 3+of x/(x-3) is infinity