What is the limit as x approaches 3 of (x^3-27)/(x-3) ?

The limit as x approaches 3 of (x^3-27)/(x-3) is 27

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limit as x approaches 3 of (x^3-27)/(x-3)

x \to 3 lim (\frac{x ^{3} - 27}{x - 3})

27

Solution steps

x \to 3 lim (\frac{x ^{3} - 27}{x - 3})

Simplify

\frac{x ^{3} - 27}{x - 3} : x^{2} + 3 x + 9

= x \to 3 lim (x^{2} + 3 x + 9)

Plug in the value

x = 3

= 3^{2} + 3 \cdot 3 + 9

Simplify

= 27

\frac{d y}{d x} = \frac{3 sec ( y )}{( x - 4 ) ^{2}}

\int \frac{2 x ^{5} - x}{x} d x

\frac{d y}{d x} = \frac{( y ^{2} + 6 )}{2 y}

\frac{d}{d x} (cos (x) + sin (y))

\frac{1}{s ( s + 4 ) ( s + 2 )}

What is the limit as x approaches 3 of (x^3-27)/(x-3) ?
The limit as x approaches 3 of (x^3-27)/(x-3) is 27