What is the limit as x approaches-3 of (x^6-729)/(x+3) ?

The limit as x approaches-3 of (x^6-729)/(x+3) is -1458

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limit as x approaches-3 of (x^6-729)/(x+3)

x \to - 3 lim (\frac{x ^{6} - 729}{x + 3})

- 1458

Solution steps

x \to - 3 lim (\frac{x ^{6} - 729}{x + 3})

Simplify

\frac{x ^{6} - 729}{x + 3} : (x - 3) (x^{4} + 9 x^{2} + 81)

= x \to - 3 lim ((x - 3) (x^{4} + 9 x^{2} + 81))

Plug in the value

x = - 3

= (- 3 - 3) ((- 3)^{4} + 9 (- 3)^{2} + 81)

Simplify

(- 3 - 3) ((- 3)^{4} + 9 (- 3)^{2} + 81) : - 1458

= - 1458

x \to 0 lim (x^{1 - c o s (x)})

x \to 0 lim (\frac{( 2 ^{x} - 3 ^{x} )}{x})

x \to 1 lim ((x - 1) ln (x - 1))

x \to \infty lim (x^{5 x})

x \to 9 lim (x^{2} + 4)

What is the limit as x approaches-3 of (x^6-729)/(x+3) ?
The limit as x approaches-3 of (x^6-729)/(x+3) is -1458