Consider the function Pue au Marka 1- x2, x1 f(x) = 2, %3D X = 1 Graph the function f(x). Find lim,1- f(x) and limy-1 f(x). Does limx1 f(x) exist? If so, what is it. If not, why not?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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CHAPTER 5: Functiona
Exercise 5.6
Parl2
alw martay
O Consider the function
Due O
[1- x2, x+1
f(x) =
2, x = 1
Graph the function f(x).
O Find lim,1- f(x) and limy-1 f(x).
O Does limx+1 f(x) exist? If so, what is it. If not, why not?
201
(+1
Determine the following limits
limx->0 1+y3x+1
sin 2x
O limx0
10x"+x*+31
O limxt
O limx-
2-Vx
3
limx-2 x-2
limx- f(x) if < f(x) < 25
x2+1
X 00
349
Transcribed Image Text:CHAPTER 5: Functiona Exercise 5.6 Parl2 alw martay O Consider the function Due O [1- x2, x+1 f(x) = 2, x = 1 Graph the function f(x). O Find lim,1- f(x) and limy-1 f(x). O Does limx+1 f(x) exist? If so, what is it. If not, why not? 201 (+1 Determine the following limits limx->0 1+y3x+1 sin 2x O limx0 10x"+x*+31 O limxt O limx- 2-Vx 3 limx-2 x-2 limx- f(x) if < f(x) < 25 x2+1 X 00 349
(I+1)(x+2)
I+1
2+32+1 212 - 6x+ 17+1-
6
45
1+3r+2
+2
Exercise 5.6. Find the partial fractions decomposition of the f
Lecture
Par
a)
3r+11
r+4
b) 3r142-4x
r2-29r+5
c)
(x-4) (=²+3)
(3r-
ch
WPB
近
Transcribed Image Text:(I+1)(x+2) I+1 2+32+1 212 - 6x+ 17+1- 6 45 1+3r+2 +2 Exercise 5.6. Find the partial fractions decomposition of the f Lecture Par a) 3r+11 r+4 b) 3r142-4x r2-29r+5 c) (x-4) (=²+3) (3r- ch WPB 近
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