$lim x \to 0 (\frac{a}{b} + \frac{cos x}{b})$

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Solution

$lim x \to 0 (\frac{a}{b} + \frac{cos x}{b}) = (\frac{a}{b} + \frac{cos 0}{b}) = (\frac{a}{b} + \frac{1}{b}) = \frac{a + 1}{b}$

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