LetΣ logp.f(x) = Σ 1 and g(x) = Σprime p≤xp=3 (mod 10)(i) Find ƒ(40) and g(40).prime p≤xp=3 (mod 10)(ii) Prove that g(x) = f(x) logx – [*t^¹ƒ(t) dt.2

Answered: Let Σ logp. f(x) = Σ 1 and g(x) = Σ…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?

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Let Σ logp. f(x) = Σ 1 and g(x) = Σ prime p≤x p=3 (mod 10) (i) Find ƒ(40) and g(40). prime p≤x p=3 (mod 10) (ii) Prove that g(x) = f(x) logx – [*t^¹ƒ(t) dt. 2