Calculus Examples

$lim_{t \to 0} (2^{t} - 1) \cos (\frac{1}{t})$

Step 1

Since $(2^{t} - 1) \cdot - 1 \leq (2^{t} - 1) \cos (\frac{1}{t}) \leq (2^{t} - 1) \cdot 1$ and $lim_{t \to 0} (2^{t} - 1) \cdot - 1 = lim_{t \to 0} (2^{t} - 1) \cdot 1 = 0$ , apply the squeeze theorem.

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