Lim 4+2+ 3x+1 2-x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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Using limit Definition :-
tim flx)
Step I:
Step II :
lim f(x)
x+a+
the
Step II:
Given
(a)
Write
Step III: Simplify
Put x = 9th
=
x+a+
Lim
X+2+
lim flath) by using the formula for
h+o
given function.
where
h+0
lim flath).
The value obtained in step II
of flat)
(right hand lineit)
and replace x + at by hto to obtain
3x+1
2-x
fla)
C
RHL of
at
3x + 1
2-1
is the RHL
x = a.
3x+1
2-x
at x = 2
RHL of f(x) at x = 2
Transcribed Image Text:Using limit Definition :- tim flx) Step I: Step II : lim f(x) x+a+ the Step II: Given (a) Write Step III: Simplify Put x = 9th = x+a+ Lim X+2+ lim flath) by using the formula for h+o given function. where h+0 lim flath). The value obtained in step II of flat) (right hand lineit) and replace x + at by hto to obtain 3x+1 2-x fla) C RHL of at 3x + 1 2-1 is the RHL x = a. 3x+1 2-x at x = 2 RHL of f(x) at x = 2
Solution
S
Lim
मनश्न
Lim
2+2+
Ruo
Lim
Lim
h+o
dim
h to
Lim
h+o
f(x)
3x+1
2-x
h
R+D
२
Lim & (2 + h)
3 (2+ h) + 1
2- (2+h)
6 + 3h +1
h
dim
21+2+
2
7+ 3h
-h
-
[ 3 + 1 ]
그
-h
∞0
3x+1
Lim
h+o
Ane
-
عواد
3-1
11
8
Transcribed Image Text:Solution S Lim मनश्न Lim 2+2+ Ruo Lim Lim h+o dim h to Lim h+o f(x) 3x+1 2-x h R+D २ Lim & (2 + h) 3 (2+ h) + 1 2- (2+h) 6 + 3h +1 h dim 21+2+ 2 7+ 3h -h - [ 3 + 1 ] 그 -h ∞0 3x+1 Lim h+o Ane - عواد 3-1 11 8
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