Answered: The family ƒ(x) = 1/xp Consider the…

The family ƒ(x) = 1/xp Consider the family of functions ƒ(x) = 1/xp, where p is a real number. For what values of p does ∫∞1 ƒ(x) dx converge?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 58E

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The family ƒ(x) = 1/x^p Consider the family of functions ƒ(x) = 1/x^p, where p is a real number. For what values of p does ∫^∞₁ ƒ(x) dx converge?

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