A. Monotonically decreasing function
B. Monotonically increasing function
C. Constant function
D. None of above
View AnswerB. Monotonically increasing function
Advance Real Analysis MCQs
The points of partition used to divide [a, b] into subintervals.
A. Overlapping
B. Non-overlapping
C. Combined
D. Both A,B
View AnswerB. Non-overlapping
The norm of P is denoted by.
A. |P
B. P|
C. |P|
D. ||P||
View AnswerD. ||P||
The greatest lower bound of [0, 1].
A. 0
B. 1
C. 0.5
D. None
View AnswerA. 0
The least upper bound of [0, 1].
A. 0
B. 1
C. 0.5
D. None
View AnswerB. 1
Norm is defined as thelength of subinterval.
A. Greatest
B. Least
C. Mean
D. None
View AnswerA. Greatest
An interval has partitions.
A. Finite
B. Infinite
C. A & B Both
D. None
View AnswerB. Infinite
If P1, P2 ? p [a,b] then p2 is called refinement of P1 iff.
A. P1>P2
B. P1< P2
C. P1 = P2
View AnswerB. P1< P2
Strictly increasing function is defined as.
A. if x1< x2 then f(x1) = f(x2)
B. if x1< x2 then f(x1) <f(x2)
C. if x1< x2 then f(x1) >f(x2)
D. A & C
View AnswerB. if x1< x2 then f(x1) <f(x2)
For monotonic increasing function. V (f, a, b) =f (b) – f (a)
A. Finite
B. Infinite
C. Both
D. None
View AnswerA. Finite