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) *...


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

Extracted 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).

Jun 05, 2022
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