Calculus Examples

$lim_{x \to 8} \frac{5 - 10 t^{3}}{18 t + 1}$

Step 1

Evaluate the limit of $\frac{5 - 10 t^{3}}{18 t + 1}$ which is constant as $x$ approaches $8$ .

$\frac{5 - 10 t^{3}}{18 t + 1}$

Step 2

Factor $5$ out of $5 - 10 t^{3}$ .

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Step 2.1

Factor $5$ out of $5$ .

$\frac{5 (1) - 10 t^{3}}{18 t + 1}$

Step 2.2

Factor $5$ out of $- 10 t^{3}$ .

$\frac{5 (1) + 5 (- 2 t^{3})}{18 t + 1}$

Step 2.3

Factor $5$ out of $5 (1) + 5 (- 2 t^{3})$ .

$\frac{5 (1 - 2 t^{3})}{18 t + 1}$