Calculus Examples

$lim_{x \to 0} \frac{6}{t} - \frac{6}{t^{2} - t}$

Step 1

Evaluate the limit of $\frac{6}{t} - \frac{6}{t^{2} - t}$ which is constant as $x$ approaches $0$ .

$\frac{6}{t} - \frac{6}{t^{2} - t}$

Step 2

Factor $t$ out of $t^{2} - t$ .

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Step 2.1

Factor $t$ out of $t^{2}$ .

$\frac{6}{t} - \frac{6}{t \cdot t - t}$

Step 2.2

Factor $t$ out of $- t$ .

$\frac{6}{t} - \frac{6}{t \cdot t + t \cdot - 1}$

Step 2.3

Factor $t$ out of $t \cdot t + t \cdot - 1$ .

$\frac{6}{t} - \frac{6}{t (t - 1)}$