Limits and continuity

Evaluating limits practice problems \lim_{x\to a} f(x) = f(a) \text{ when } f \text{ is continuous at } a 12 limit practice problems with answers and step-by-step solutions: direct substitution, factoring 0/0, conjugates, trig limits and one-sided limits. Limits at infinity practice problems \lim_{x\to\infty}\frac{a x^n + \cdots}{b x^n + \cdots} = \frac{a}{b} 12 limits at infinity practice problems with answers and full solutions: rational functions, square roots, exponentials and horizontal asymptotes. L'Hôpital's rule practice problems \lim_{x\to a}\frac{f(x)}{g(x)} = \lim_{x\to a}\frac{f'(x)}{g'(x)} 12 L'Hôpital's rule practice problems with answers and full solutions, covering 0/0, ∞/∞, 0·∞, ∞−∞ and exponent forms like 1^∞ and 0^0. Continuity practice problems \lim_{x\to a} f(x) = f(a) 12 continuity practice problems with answers and full solutions: piecewise functions, finding k, types of discontinuity and the Intermediate Value Theorem.