## Advance Real Analysis MCQs Test

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:

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For monotonic decreasing function?

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An interval has partitions?

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Norm is defined as thelength of subinterval?

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For monotonic increasing function. V (f, a, b) =f (b) – f (a)?

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The least upper bound of [0, 1]?

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The greatest lower bound of [0, 1]?

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The norm of P is denoted by?

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Many partitions may have same?

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If f is integrable then |f| is?

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A sequence in which every term is a function of x on set E called?

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In fundamental theorem of calculus F on[a,b]?

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In fundamental theorem of calculus F’=?

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(x) =0 if x=0 and I(x) =1 if x=0. I(x) is called?

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If P and P* be two partitions of [a,b] then P* is called refinement of P if?

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Continuous function defined on a?

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A. P* = P
B. P = P*
C. P= P*
D. None

B. 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

C. Unit step function

A. F+g
B. f
C. g
D. l

B. f

## In fundamental theorem of calculus F on[a,b].

A. Constant
B. Integrable
C. Differentiable
D. None

C. Differentiable

## If total variation of f is finite then f is called.

A. Function with unbounded variation
B. Function having no variation
C. Function
D. Function of bounded 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. Function of bounded variation

## 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

C. Sequence of function

## If f is integrable then |f| is.

A. Differentiable
B. Undefined
C. Integrable
D. All above