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1. Show that the following functions f : R R are continuous. You should argue carefully from the definition. a) f(x) = x+1. b) * f(x) = 2x. c) * f(x) = Ax (where A ER is some number). d) * f(x) = Ax + B (where A, B ER are some numbers). %3D

1. Show that the following functions f : R R are continuous. You should argue carefully from the definition. a) f(x) = x+1. b) * f(x) = 2x. c) * f(x) = Ax (where A ER is some number). d) * f(x) = Ax + B (where A, B ER are some numbers). %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Show that the following functions f : R → R are continuous. You should argue carefully from the definition. a) f(x)= x+1. b) * ƒ(x) = 2x. %3D c) * f(x) = Ax (where A E R is some number). %3D d) * f(x) = Ax + B (where A, B ER are some numbers).
Transcribed Image Text:1. Show that the following functions f : R → R are continuous. You should argue carefully from the definition. a) f(x)= x+1. b) * ƒ(x) = 2x. %3D c) * f(x) = Ax (where A E R is some number). %3D d) * f(x) = Ax + B (where A, B ER are some numbers).
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