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Math 1304 Calculus I

Math 1304 Calculus I. 4.04 – L’Hospital’s Rule and Indeterminate Forms. Indeterminate Forms. Sums and differences: ∞ - ∞ Products: ∞  0 Quotients: ∞ / ∞ , 0 / 0 Powers: 0 0 , ∞ 0 , 1 ∞ More?. L’Hospital’s Rule.

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Math 1304 Calculus I

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  1. Math 1304 Calculus I 4.04 – L’Hospital’s Rule and Indeterminate Forms

  2. Indeterminate Forms • Sums and differences: ∞ - ∞ • Products: ∞  0 • Quotients: ∞ / ∞ , 0 / 0 • Powers: 00 , ∞0 , 1∞ • More?

  3. L’Hospital’s Rule L’Hospital’s Rule: Suppose f and g are differentiable and g’(x) ≠ 0 on an open interval I that contains a (except possibly at a). Suppose that lim xa f(x) = 0 and lim xa g(x) = 0 Or that lim xa f(x) = ∞ and lim xa g(x) = ∞ Then lim xa f(x)/g(x) = lim xa f’(x)/g’(x)

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