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

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

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

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

3

Solution steps

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

Simplify

\frac{x ^{2} - 3 x}{x - 3} : x

= x \to 3 lim (x)

Plug in the value

x = 3

= 3

x^{5} cos (x^{3})

\frac{d}{d x} ((2 x^{2} + 7)^{5})

x \to 0 lim ((e^{x} + x)^{\frac{5}{x}})

\int sin^{2} (2 π x) d x

x \to - 2 lim (\frac{x - 2}{∣ x - 2 ∣})

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