Calculus Examples

$\frac{lim_{x \to o} \cos (t) - \cos^{2} (t)}{t}$

Step 1

Evaluate the limit of $\cos (t) - \cos^{2} (t)$ which is constant as $x$ approaches $o$ .

$\frac{\cos (t) - \cos^{2} (t)}{t}$

Step 2

Factor $\cos (t)$ out of $\cos (t) - \cos^{2} (t)$ .

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Step 2.1

Multiply by $1$ .

$\frac{\cos (t) \cdot 1 - \cos^{2} (t)}{t}$

Step 2.2

Factor $\cos (t)$ out of $- \cos^{2} (t)$ .

$\frac{\cos (t) \cdot 1 + \cos (t) (- \cos (t))}{t}$

Step 2.3

Factor $\cos (t)$ out of $\cos (t) \cdot 1 + \cos (t) (- \cos (t))$ .

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