Example 9 6 L 2 45 Determine what interals are discontinuous & explain your reasoning. (2) give 3 X-values where f(x) is continuous (3) give 3 x-values where f(x) is discontinuous Name a value of x for which the file is from the right. not continuous but is continuous Determine any values where discontinuos & state the type of discontinuity. 6) f(x) = (x² + 5₁ X <- 2² (5) f(x) = (x² +5₁ X <-2 (3-3x₁x 2-2) C1-3X₁ X2 -2 * find the values of a and b that make of continuass everywhere. =x2-4 if x 22 (7) f(x)= X-2 ax2-bx+ 3 if 22x23 2x -a +b if x 73 (8) Explan any f(x) = tan (x) + x ² is continous @every number in its domain & state the demain.. a use continuity to evaluate the limit lim (tan x+x²) хэл prir Scre 10 Evaluate lim arcsin (1=1) 1) Show that tan (x) = 1 = x² has a root somewhere in internal (0,13
Example 9 6 L 2 45 Determine what interals are discontinuous & explain your reasoning. (2) give 3 X-values where f(x) is continuous (3) give 3 x-values where f(x) is discontinuous Name a value of x for which the file is from the right. not continuous but is continuous Determine any values where discontinuos & state the type of discontinuity. 6) f(x) = (x² + 5₁ X <- 2² (5) f(x) = (x² +5₁ X <-2 (3-3x₁x 2-2) C1-3X₁ X2 -2 * find the values of a and b that make of continuass everywhere. =x2-4 if x 22 (7) f(x)= X-2 ax2-bx+ 3 if 22x23 2x -a +b if x 73 (8) Explan any f(x) = tan (x) + x ² is continous @every number in its domain & state the demain.. a use continuity to evaluate the limit lim (tan x+x²) хэл prir Scre 10 Evaluate lim arcsin (1=1) 1) Show that tan (x) = 1 = x² has a root somewhere in internal (0,13
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Exampl
Determine what interals are
discontiruous t explain your
reasuning.
45
print
Screer
gTue 3 x-values where f( is continos
3) giue 3 x - values where f(x) iS discontinuous
ONome a value of x for wmich the fe is
not untinuoUs but is eontinuous
from the right.
* Determime any vaves Where discontinuos dState the type K
dscontinuity.
(f(x)=6x²+5,X<-2
( 3 - 3x , x 2 -2)
%3D
C1- 3x , X Z -2
* find the values of a and b that make fcontinuas8 everyuhere;
x2-4
If x L2
X-2
ax2-bx+3if 22XL3
2x-atb if x73
OExplan ny fCX)=tan(x) + x is continous @every number
in its domain t state the demain
@use continuty to evaluate the limit lim (tanx+xe)
10 Evalyare lim arcsin
Oshow that tan (x)1=x* has a root sonewhere in interal c0,1.3)
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