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Evaluate $\underset{x→2}{\lim}\frac{x^6-24x-16}{x^3+2x-12}$. |
12 0 9 8 |
12 |
$\underset{x→2}{\lim}\frac{x^6-24x-16}{x^3+2x-12}=\underset{x→2}{\lim}\frac{(x-2)(x^5+2x^4+4x^3+8x^2+16x+8)}{(x-2)(x^2+2x+6)}=\frac{168}{14}=12$ |
