Calculus Examples

$lim_{t \to 0} t \sin (\frac{1}{t})$

Step 1

Since $t \cdot - 1 \leq t \sin (\frac{1}{t}) \leq t \cdot 1$ and $lim_{t \to 0} t \cdot - 1 = lim_{t \to 0} t \cdot 1 = 0$ , apply the squeeze theorem.

$0$