Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Let f and g be real functions. Show directly from the definitionsthat if f is everywhere continuous and limx→1+ g(x) = L, then limx→1+ f(g(x)) = f(L).
11. Consider the function f(x)
-
x³-ax²-x+b
X+1
Given that f(a)= a-2 and the
lim f(x) exists, determine all value(s) of lim f(x).
X--1
X-1
1. Let the function f: DCR R be defined by
f(x) = lim
no0 2+ ar"
(a) Evaluate lim,+-1- f(x) and lim,-1+ f(x).
(b) Evaluate lim,1-f(x) and lim,1+ f(r).
(c) Locate and classify all the points of discontinuity, then graph the function.
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