Real Analysis II 1. Fix R € (0,1). Prove that not converges pointwise to f(t) = ₁ t[-R, R]. Hint: Fix R E (0, 1) and te [-R, R]. Let Sn(t)+t-1. Prove that limno Sn(t) = 1 by rewriting sn(t)on Sto +t²¹ +as a certain fraction.www

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1. Fix R € (0,1). Prove that oth converges pointwise to f(t) = ₁¹t on S = [-R, R]. Hint: Fix R € (0, 1) and t = [-R, R]. Let sn(t) to +²+...+1. Prove that limno Sn(t)= by rewriting sn(t) as a certain fraction. 1-t -

1. Fix R € (0,1). Prove that oth converges pointwise to f(t) = ₁¹t on S = [-R, R]. Hint: Fix R € (0, 1) and t = [-R, R]. Let sn(t) to +²+...+1. Prove that limno Sn(t)= by rewriting sn(t) as a certain fraction. 1-t -

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

Real Analysis II

1. Fix R € (0,1). Prove that not converges pointwise to f(t) = ₁ t
[-R, R]. Hint: Fix R E (0, 1) and te [-R, R]. Let Sn(t)
+t-1. Prove that limno Sn(t) = 1 by rewriting sn(t)
on S
to +t²¹ +
as a certain fraction.
www

Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.

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