Question # 1

For a function f(x) to be continuous on interval (a,b) the function must be continuous

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At all point in (a,b)

Only at point a,b

At mid point of a and b

None of these

Which of the following is true for the sequence {n}∞ n=0?

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Non increasing

non decreasing

increasing

decreasing

The set {x:a<=x<=b} can be written in the form of interval ?

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(a,b)

(a.b)

[a,b]

lim x→0 sin2x/x____

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2

4

1

8

For a sequence {a_n}if the ration of successive terms a_n+1/ a_n>1 then the sequence is known as

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Increasing

Decreasing

Non Increasing

Non decreasing

30^o

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π/3

π/4

π/6

Let y=(x³+2x)³⁷ Let Which of the following is correct?

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dy/dx=(37)(x³+2x)³⁶

dy/dx=(111x²)(x³+2x)³⁶

dy/dx=(111x²+74)(x³+2x)³⁶

If f''(x)<0 on an open interval (a,b) then which of the following statement is correct

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f is concave up on (a,b)

f is concave down on (a,b)

f is linear on a,b

Which operation can not be applied on the function?

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Subtraction

Cross Product

Addition

Composition

Let f(x ) is the function such that as x approaches a real number ,either from left or right hand side ,the function value increase or decrease unboundedly then lim f(x)

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Exist

Does not exist

Not Sure

The lim x→a f(x)=___ where f(x)=k

The k is constant

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K+1

K+2

k

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