What is the limit as x approaches 3 of ((x^4-81))/(x-3) ?

The limit as x approaches 3 of ((x^4-81))/(x-3) is 108

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limit as x approaches 3 of ((x^4-81))/(x-3)

x \to 3 lim (\frac{( x ^{4} - 81 )}{x - 3})

108

Solution steps

x \to 3 lim (\frac{x ^{4} - 81}{x - 3})

Simplify

\frac{x ^{4} - 81}{x - 3} : (x^{2} + 9) (x + 3)

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

Plug in the value

x = 3

= (3^{2} + 9) (3 + 3)

Simplify

= 108

What is the limit as x approaches 3 of ((x^4-81))/(x-3) ?
The limit as x approaches 3 of ((x^4-81))/(x-3) is 108