Calculus Examples

$lim_{x \to 8} (\frac{1}{t}) \sin (\frac{1}{\frac{1}{t}})$

Step 1

Evaluate the limit of $(\frac{1}{t}) \sin (\frac{1}{\frac{1}{t}})$ which is constant as $x$ approaches $8$ .

$(\frac{1}{t}) \sin (\frac{1}{\frac{1}{t}})$

Step 2

Simplify the answer.

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Step 2.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{t} \sin (1 t)$

Step 2.2

Multiply $t$ by $1$ .

$\frac{1}{t} \sin (t)$

Step 2.3

Combine $\frac{1}{t}$ and $\sin (t)$ .

$\frac{\sin (t)}{t}$