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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.6: Permutations

Problem 47E

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question 1)a)

For real number p, let f and g be defined by f(x) =e¯*x³ and g(x) = 1/xP, respectively,
on [1,0).
Show that lim (x)
x+* g(x)
(a)
= 0 for all p E R.
(b)
Explain why the integral ex* dx is convergent.

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