Let ƒ = C[a, b] and have a unique maximum value point x* on [a, b]. Suppose {x} is aconvergent sequence on [a, b] andProve:lim f(xn) = f(x*).n⇒xlim xn = x*.n∞

Answered: Image /qna-images/answer/e3277b57-4816-47c9-b689-9d1887299fc9.jpg

Answered: Let ƒ = C[a, b] and have a unique…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Sequences And Series

Section8.1: Sequences And Summation Notation

Problem 1E: A sequence is a function whose domain is ____________.

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Let ƒ = C[a, b] and have a unique maximum value point x* on [a, b]. Suppose {x} is a convergent sequence on [a, b] and Prove: lim f(xn) = f(x*). n⇒x lim xn = x*. n∞

Let ƒ = C[a, b] and have a unique maximum value point x* on [a, b]. Suppose {x} is a convergent sequence on [a, b] and Prove: lim f(xn) = f(x). n⇒x lim xn = x. n∞