Question # 1

{1/2ⁿ}ⁿ1 represent the sequence

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-1/2,-1/4,-1/8

1/2,1/4,1/7=8

0,1,1/2,1/4

If f is a twice differentiable function at stationary point x_oan f'(x_o) <0 then f has relative _______ At x_o

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Minima

Maxima

None of these

Which operation can not be applied on the function?

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Subtraction

Cross Product

Addition

Composition

log_bac_______?

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log_ba + log_bc

log_ba + log_bb

None of these

The power rule d/dx[xⁿ]=nx^n-1holds if n is

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an integer

a rational number

an irrational number

all of the above

Center and radius of the circle is (x+5)²+(y-3)²=16 is

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(-5,3),4

(5,-3),16

(5,-3),4

None of these

If f(x)=e^-xat x=0 be the taylor series ,then which of the following is also true?

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Arithmetic Series

Maclaurin Series

Geometric Series

Harmonic Series

Let a function be defined on an interval and let x₁ and x₂denotes two distinct points in that interval ,If f(x₁)= f(x₂) for all points x_{1 and}x₂then which of the following statement is correct ?

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f is decreasing function

f is increasing function

f is constant function

In alternating series test ,which one of the following condition must be satisfied

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lim k→∞ a_k=1

a₁>a₂>a_{3...............>a}k

a₁<a₂<a_{3...............<a}k

d(tan x)/dx =___

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sec x

sec²x

cosec²x

cosec x

no of x and y are intercept for the equation y=1/x

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Two x intercepts

Two y intercepts

No x and y intercept correct

None of these

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