Calculus Examples

$lim_{x \to - 8} \frac{s^{6} - 2 s^{3} - 5 s - 1}{4 s^{4} - 3 s}$

Step 1

Evaluate the limit of $\frac{s^{6} - 2 s^{3} - 5 s - 1}{4 s^{4} - 3 s}$ which is constant as $x$ approaches $- 8$ .

$\frac{s^{6} - 2 s^{3} - 5 s - 1}{4 s^{4} - 3 s}$

Step 2

Factor $s$ out of $4 s^{4} - 3 s$ .

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Step 2.1

Factor $s$ out of $4 s^{4}$ .

$\frac{s^{6} - 2 s^{3} - 5 s - 1}{s (4 s^{3}) - 3 s}$

Step 2.2

Factor $s$ out of $- 3 s$ .

$\frac{s^{6} - 2 s^{3} - 5 s - 1}{s (4 s^{3}) + s \cdot - 3}$

Step 2.3

Factor $s$ out of $s (4 s^{3}) + s \cdot - 3$ .

$\frac{s^{6} - 2 s^{3} - 5 s - 1}{s (4 s^{3} - 3)}$