68

69,

70.

74.

1 if xis rationalin [0,1]
Let /(x) _ then in[0. 1
—1 if xis irrutional 0 [0.1] 8
(ക) fi(x) is continuous everywhere
(8) /(x)is Riemann integrable
(0) /(x)is Lebague integrable.
(D) /{(x) is not Riemann integrable

If £(x) is & real valued functions def

ಗು
the function (ര) ടതു

(A) 11

(8) decreasing

asing 77 (0, =>)
71 (0, ==)
(ए) लावला in (0, 1] and decreasing in (

(D) decreasir 7] (1, ೬).
‏سنا‎ (231 3
‏رقا اما اده‎ जा

(A) 1 (B)

(©) ௦ യ) -൦

The sequence I/, |where f(x) =t (1 - x)

(A) converges uniformly on [0, 1]

(8) does not converges uniformly on [0, 1]
(0) diverges in [0, 1]

(D) ೧೦೧೪೮ of these

The function £ (x) - {*

x) forx#0 is
0

0 for x
(A) continuous at the origin
(8) discontinuous at the origin

(€) continuous but not differentiable at the origin
യ) continuous and differentiable at the orig

For the differential equation 4v>y” + 627y’ + y = 0 the point at infinity is

(A) an ordinary point (B) a critical point
(6) animregular singular point (0) 2 regular singular point
Let G be a finite abelian group of 6dd order and let त = {८2 |= ©} ला

(ಹಿ) His a sub-group of G only if G is eyclic
(B) Hisapr
(9) H=G

(D) H may not be a sub

cr sub-group of G

oup of G

ned on [0, ) such that £(0) = 0 and £ (x)

0 for all x, then

014/2018