Practicing Success
Practicing Success
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$\underset{x→-∞}{\lim}\frac{x^3-x}{\sqrt{1+x^6}}$ is equal to |
-1 1 0 3 |
-1 |
$y=-x$ $\underset{x→-∞}{\lim}\frac{x^3-x}{\sqrt{1+x^6}}=\underset{y→∞}{\lim}\frac{-y^3+y}{\sqrt{1+y^6}}=\underset{x→-∞}{\lim}\frac{y^3\left(-1+\frac{1}{y^2}\right)}{y^3\sqrt{\frac{1}{y^6}+1}}=\frac{-1}{1}=-1$ |
