D:-None of these
Correct Answer:- Option-A
Question56:-Let *lim_{x->0)f(x}/x=I", where 0< 'I' *<00". Then'lim_{(x->0)" 709
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B:-Need not exists
C:-Exists, but not always zero
D:-Exists and depends on "I
Correct Answer:- Option-A
Question57:-Which of the following function is not differentiable on ` 0, हि) (2)) 7

B:-|sin x|
C:-max{sin x, cos x}
D:-None of these
Correct Answer:- Option-C
Question58:-Let A be a 5x4 matrix and B be a 4x5 matrix. Then 1 is necessarily an eigen value of
A:-AB
B:-AB + 1
C:-BA
D:-BA +1
Correct Answer:- Option-B
Question59:-The equation *x~(2)* +'y~(2)" + 2xy —1 = 0 represents
A:-Parabola
B:-Ellipse
C:-Hyperbola
D:-Pair of straight lines
Correct Answer:- Option-D
Question60:-Which of the following is not a Banach space 7
ക: 00
8;-717(00)7
6-1
D:-None of these
Correct Answer:- Option-A
Question61:-Which is false about *NN* 7
A:-"NN* cannot be written as a denumerable union of denumerable disjoint sets
B:-"NN' is well ordered
C:-"'NN' is a closed subset ۸۰
D:-None of these
Correct Answer:- Option-A
Question62:-E = 00:22] <3}. Then which is false 7
A:-EisopeninQQ"
B:-Eis closed in *QQ"
C:-E is a bounded subset of *QQ"
D:-E is a compact subset of *QQ"
Correct Answer:- Option-D

(0. -- 1) 1 ೫ 11200081

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‎irrational‏ 15 2 1 ")1 - 1( 1 - )2
7 9 :00850063
‎Then which of the following function is discontinuous everywhere on [0,1] 7‏

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:-9 (3).

D:-All of these

Correct Answer:- Option-A

Question64:-Let
Then f(0} is
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