Question # 1

set{...-4,-3 ,-2,-1,0,1,2,3,4} is known as the set of

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natural number

Integer

whole number

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

According to the power rule of differentiation,if f(x)=xⁿwhere n is a real number then d/dx[xⁿ]=

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x^n-1

nx^n-1

nxⁿ⁺¹

d(sec x)/dx=?

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sec x tan x

sec x tan y

cosec x cot x

What is the base of natural logarithm ?

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2.71

10

5

If the partial sum of the series is finite then the series will be

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Divergent

Convergent

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Lim _x→_a^{f(x)=____ where f(x)=k?}

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k+2

K+1

k

Chain rule is a rule for differentiating ______ of functions

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Product

Sum

Composition

Difference

lim x→0⁺ln x/1/x=_______

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1

0

none of these

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

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dy/dx=37(x³2x)³⁶

dy/dx=111x²(x³2x)³⁶

dy/dx=(111x²+74)(x³2x)³⁶

if xy=4 they dy/dx ?

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-1/x²

4/x²

-4/x²

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