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Unformatted text preview: 3 x x x →∞ = 5. lim 2 x x x e →∞ = 6. lim x 2 x x 1 →∞ = + 7. ( 29 tan lim ln x 1 x 2 x 1 + → π =8. lim x x e x →∞ = lim , a x x x a 0 e →∞ = ln lim , a x x a 0 x →∞ = Other Indeterminate forms. 1 ∞ ∞ • ∞ ∞  ∞ The first three arise from limits of functions that have variable bases and variable exponents. Rewrite. 1. lim x x e x→∞ = 2. ( 29 lim ln x x x + →= • ∞ 3. lim sin x 1 x x →∞ = 1 ∞ 1. lim x x 1 1 x →∞ + = 2. ( 29 lim 1 x x 1 x + → + = These are all indeterminate. These are “determinate”. ∞∞ ∞ + ∞ → ∞∞  ∞ → ∞ → → ∞ 1 ∞ ∞ ∞ • ∞ ∞  ∞ ∞ POPPER Assignment 23 People Soft #...
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 Spring '08
 morgan
 Math, Limits, Limit of a function, Exponentiation, Indeterminate form

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