Suppose f and g have Taylor series about the point a. a. If f(a) = g(a) =
Question:
Suppose f and g have Taylor series about the point a.
a. If f(a) = g(a) = 0 and g'(a) ≠ 0, evaluate by expanding f and g in their Taylor series. Show that the result is consistent with l’Hôpital’s Rule.
b. If f(a) = g(a) = f'(a) = g'(a) = 0 and g"(a) ≠ 0, evaluate by expanding f and g in their Taylor series. Show that the result is consistent with two applications of l’Hôpital’s Rule.
Transcribed Image Text:
|lim f(x)/g(x) |x>a f(x) lim x→a g(x)
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a Because fa ga 0 we use the Taylor series for fx and gx centered at a to comput...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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