ലല്‌

D:-(0, 1)

Correct Answer:- Option-B
Question48:-lim_(n->00)* *(1+(log_(e)*(2))/(n))*(n) =

:-“log_(e)*(2)°
Correct Answer:- Option-B

Question49:-Let g(x)=|cosx]. Then
A:-g(x) is nowhere differentiable
B:-g(x) is everywhere differentiable
C:-g(x) is differentiable everywhere except x = n’Pi’, ` 11227
D:-g(x) is differentiable everywhere except ‘x=(2n+1)Pi/2°, ‘ninZZ*
Correct Answer:- Option-D

Question50:-

ten, , ಡೆ #0

ഹട
ee 7 ॥; 1 otherwise

Then :
A:-f is differentiable at all points, but f’ is not a continuous function
B:-f is not differentiable but it is continuous
C:-f is neither differentiable nor continuous
D:-f is differential and f' is continuous
Correct Answer:- Option-A
Question51:- int_0*o0e*(-x*(2))dx="

Correct Answer:- Option-C
Question52:-Bolzano-Weierstrass theorem
A:-Every convergent sequence of real numbers is bounded
B:-A bounded sequence of real numbers has a convergent subsequence
C:-Every sequence of real numbers has a convergent subsequence
D:-A sequence of non-negative real numbers is bounded if and only if it is convergent
Correct Answer:- Option-B
Question53:-lim_(x->0)* *((L-cosx)sinx)/(x*(2)+x*(3))="
ಡಿ
8:-0
1/2
D:-1
Correct Answer:- Option-C
Question54:-i*(321)+(1)/(i*(123))=
A:-0
8:-2
6-2
D:-1-i
Correct Answer:- Option-C
Question55:-|z+3i| * [2-3] = 8 represents
A:-a straight line
B:-a circle
C:-a hyperbola
D:-an ellipse
Correct Answer:- Option-D
Question56:-Harmonic conjugate of *‘u(x,y)=x*(2)-y*(2)° is
6: ४२८, +) =^ (2) +#^ (2)
Vx, y=(xty)*(2)°
சே v(x, y)=(x-y)* (2)