Advance Real Analysis MCQs deal with For Monotonic Decreasing Function, An Interval Has Partitions, Norm Is Defined As The length Of Subinterval, For Monotonic Increasing Function. V (F, A, B) =F (B) – F (A), The Least Upper Bound Of [0, 1], The Greatest Lower Bound Of [0, 1], The Norm Of P Is Denoted By, Many Partitions May Have Same, If F Is Integrable Then |F| Is, A Sequence In Which Every Term Is A Function Of X On Set E Called, In Fundamental Theorem Of Calculus F On[A,B], In Fundamental Theorem Of Calculus F’=, (X) =0 If X=0 And I(X) =1 If X=0. I(X) Is Called, If P And P* Be Two Partitions Of [A,B] Then P* Is Called Refinement Of P If, Continuous Function Defined On A:
Advance Real Analysis MCQs
If P and P* be two partitions of [a,b] then P* is called refinement of P if.
A. P* = P
B. P = P*
C. P= P*
(x) =0 if x=0 and I(x) =1 if x=0. I(x) is called.
A. Unity function
B. Union function
C. Unit step function
D. Constant function
In fundamental theorem of calculus F’=.
In fundamental theorem of calculus F on[a,b].
If total variation of f is finite then f is called.
A. Function with unbounded variation
B. Function having no variation
D. Function of bounded variation
A real value monotone function on [a,b] is a.
A. Function of bounded variation
B. Function of unbounded variation
C. Undefined function
D. All above
A sequence in which every term is a function of x on set E called.
A. Sequence of set E
B. Sequence of x
C. Sequence of function
D. Unique sequence
If f is integrable then |f| is.
D. All above
Many partitions may have same.
A. Upper sum
B. Lower sum
D. Lower and upper sum