What is the limit as x approaches 4 of x/(x^2-3x) ?

The limit as x approaches 4 of x/(x^2-3x) is 1

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limit as x approaches 4 of x/(x^2-3x)

x \to 4 lim (\frac{x}{x ^{2} - 3 x})

1

Solution steps

x \to 4 lim (\frac{x}{x ^{2} - 3 x})

Plug in the value

x = 4

= \frac{4}{4 ^{2} - 3 \cdot 4}

Simplify

= 1

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

\int \frac{x ^{3}}{x ^{2} + 5} d x

\frac{d}{d x} (\frac{d y}{d x}) = 4 x

f (x) = - 3 e^{- 2 x} + 3

\int \frac{1}{( x ^{2} + 2 ) ^{\frac{5}{2}}} d x

What is the limit as x approaches 4 of x/(x^2-3x) ?
The limit as x approaches 4 of x/(x^2-3x) is 1