Calculus Examples

$lim_{h \to - 8} \frac{x^{5} - 8000 x^{4}}{3 x^{5} + 80000}$

Step 1

Evaluate the limit of $\frac{x^{5} - 8000 x^{4}}{3 x^{5} + 80000}$ which is constant as $h$ approaches $- 8$ .

$\frac{x^{5} - 8000 x^{4}}{3 x^{5} + 80000}$

Step 2

Factor $x^{4}$ out of $x^{5} - 8000 x^{4}$ .

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Step 2.1

Factor $x^{4}$ out of $x^{5}$ .

$\frac{x^{4} x - 8000 x^{4}}{3 x^{5} + 80000}$

Step 2.2

Factor $x^{4}$ out of $- 8000 x^{4}$ .

$\frac{x^{4} x + x^{4} \cdot - 8000}{3 x^{5} + 80000}$

Step 2.3

Factor $x^{4}$ out of $x^{4} x + x^{4} \cdot - 8000$ .

$\frac{x^{4} (x - 8000)}{3 x^{5} + 80000}$