Math Chapter Wise

EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q141.Value of the x 0 x 1 1 lim x is–

A1 B2 C1/2 DNone of these

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q142.Value of 2 n 1 2 3... n lim,n N n is equal to

A0 B1 C1/2 D1/4

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q143.The number of points at which the function 1 f(x) x x is not continuous is–

A1 B2 C3 DNone of these

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q144.If log x if x 1 f(x) x 1 K if x 1 is continuous at x 1 then the value of K is–

A0 B–1 C1 D0

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q145.Value of the limit x 1 lim 2xsin 2x is equal to–

A1 B0 CNot defined Dnone of these

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EnglishSECTION B PGT TIER-I 31.11.2014

Q146.The function 2 3 4 x f(x) 4x x is discontinuous at

AOnly one point BExactly two points CExactly three points DNone of these

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EnglishSECTION B PGT TIER-I 31.11.2014

Q147.Which of the following is not an indeterminate form?

AFormula option A (see source) BFormula option B (see source) CFormula option C (see source) D0

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EnglishSECTION B PGT TIER-I 31.11.2014

Q148.Value of the n lim n[log(n 1) logn] is–

Ae B1 C0 DNone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q149.1 1 1 3 2 n x 1 lim 1 2 3..... n n →∞ + + + + + + + + + + + + + + + + is equal to–

A0 B1 C1/2 Dnone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q150.2 2 x 0 1 1 lim x sin x → − is equal to–

A0 B3 C3/2 D-1/3

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q151.Which of the following is unifon continuous on (0, 1)

A() 1 f x sin x = B() 1 f x x = C() 2 1 f x x = D() 1 f x xsin x =

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q152.lf ((()) 5 x 32, x 2 f x x 2 k, x 2 − ≠ = − − = is continuous at x=2, then k equal to–

A16 B80 C32 D8

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q153.The value of 2x x e 1 lim sin(4x) →∞ − is equal to–

A0 B0.5 C1 D2

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q154.The value of 2 2 x 0 1 x 1 x lim x → + − − + − − + − − + − − is equal to–

A0 B1/2 C2 DNone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q155.The points of discontinuity of the function 1 f(x) log x = is–

A2 B1 C4 D3

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q156.The function x x f(x) x − = is-

Acontinuous everywhere Bdiscontinuous for all x Ccontinuous for all x except x = 0 Dcontinuous for all x except x = 1

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q157.The value of 2 2 2 x 0 3sin x 2sin x lim 3x → −

A1/3 B0 C1 Dnone of these

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EnglishTGT 2003

Q158.If sin y = xsin (a +y), then dy dx equal to

Asin (a + y) Bsin2/(a + b) Csin(a y) sina + D2 sin (a y) sina +

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EnglishTGT 2003

Q159.The set of all point, where the function (()) x f(x) a x = − is differentiable, is

A(–∞,∞) B(0, ∞) C(0,∞) D(0, ∞)

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EnglishTGT 2003

Q160.The number of points at which the function (()) f x x 0.5 x 1 tanx = − + − + = − + − + = − + − + = − + − + does not have derivative in the interval [0, 2] is.

A1 B2 C3 D4

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