Consider the function: f(x) = {x2, x ≤ 2 {4, 2 < x ≤ 4 {x + 2, if x > 4 Find the following limits: (d) lim x→2 f(x) (e) lim x→4+ f(x) (f) lim x→4− f(x) (g) lim x→4 f(x) (h) lim x→−3 f(x) (i) lim x→5 f(x)

Consider the function: f(x) = {x2, x ≤ 2 {4, 2 < x ≤ 4 {x + 2, if x > 4 Find the following limits: (d) lim x→2 f(x) (e) lim x→4+ f(x) (f) lim x→4− f(x) (g) lim x→4 f(x) (h) lim x→−3 f(x) (i) lim x→5 f(x)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

Consider the function:
f(x) = {x², x ≤ 2
{4, 2 < x ≤ 4
{x + 2, if x > 4

Find the following limits:
(d) lim x→2 f(x)
(e) lim x→4+ f(x)
(f) lim x→4− f(x)
(g) lim x→4 f(x)
(h) lim x→−3 f(x)
(i) lim x→5 f(x)

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