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
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Chapter2: Second-order Linear Odes
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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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