Solution- (h) رف) (g) X-2 So accordind to As So I'm f(x) = ? we lim £(2) 2-12 22=1 сан are O -2- No of discontinuity -4- I approaches to function's value is approaches to see the given graph P 2 x=1 ਸ 2 O ។ from graph no. of discontinuity there S [at x==2, x=-1₁ 2²=0, x=1, X=2] For ese essential discontinuity left limit or right limit or both must approach to the en infinity, Then the discontinuity is essential. P.N.I. 1x graph directly 0.
Solution- (h) رف) (g) X-2 So accordind to As So I'm f(x) = ? we lim £(2) 2-12 22=1 сан are O -2- No of discontinuity -4- I approaches to function's value is approaches to see the given graph P 2 x=1 ਸ 2 O ។ from graph no. of discontinuity there S [at x==2, x=-1₁ 2²=0, x=1, X=2] For ese essential discontinuity left limit or right limit or both must approach to the en infinity, Then the discontinuity is essential. P.N.I. 1x graph directly 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Solutioni-
(h)
رف)
(g)
cill
I'm f(21) = ?
X-2
we
lim £(2) = 0
भन
-5-4
So according to the given graph
As
I approaches to
function's value is approaches to
сам
жет у
No of discontinuity
are
2
کی
2
221
2
$
see from graph directly
no. of discontinuity
there
[ at 2=-2, x=-1₁ 41=0, x=1, x=2]
P.N.L.
1x
0.
For
ese essential discontinuity
left limit or right limit or both
must approach to the
to the en énfinity,
Then
the discontinuity is essential.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc094a8e4-aa9c-4bd1-817e-d5e48fc50cde%2F78b946b8-318d-43cc-9f1e-6a27569aff1e%2Fj08df2k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solutioni-
(h)
رف)
(g)
cill
I'm f(21) = ?
X-2
we
lim £(2) = 0
भन
-5-4
So according to the given graph
As
I approaches to
function's value is approaches to
сам
жет у
No of discontinuity
are
2
کی
2
221
2
$
see from graph directly
no. of discontinuity
there
[ at 2=-2, x=-1₁ 41=0, x=1, x=2]
P.N.L.
1x
0.
For
ese essential discontinuity
left limit or right limit or both
must approach to the
to the en énfinity,
Then
the discontinuity is essential.
Transcribed Image Text:Clearly
(G)
at x=-1
approaches to infinity.
at x=-
So
at x=1
So
So
by
In
IL
left and right both I'mits
to infinity.
at x=1
Removable!
there is essential
discontinuity,
the left limit approaches
at x=+ and 21=1
discontinuity.
are
there is
discontinuity.
Discontinuity
By these kind of
redifine the
given for
discontinuity at
have essential
fx",
essential
X=0
we redefine the for
at x=0=f121=0
and
21=2 = f(2)=4
P.N.2
сам
removable discontinity
remove
1 x = 1
then there will be no discontinuity at
& Dr=2.
do
west
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