Calculus Examples

$lim_{x \to 0} (3 - 2 \sin (\frac{1}{x})) (e^{- \frac{1}{x^{2}}})$

Step 1

Since $1 e^{- \frac{1}{x^{2}}} \leq (3 - 2 \sin (\frac{1}{x})) (e^{- \frac{1}{x^{2}}}) \leq 5 e^{- \frac{1}{x^{2}}}$ and $lim_{x \to 0} 1 e^{- \frac{1}{x^{2}}} = lim_{x \to 0} 5 e^{- \frac{1}{x^{2}}} = 0$ , apply the squeeze theorem.

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