Question # 1

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

y=1/1-x dy/dx if then

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1

-1

1/(1-x)²

d/dx[cosec x]

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1/1+cos²x

-cos x/1-cos²x

1/1-cos²x

The lim x→a f(x)=___ where f(x)=k

The k is constant

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K+1

K+2

k

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

if xy=4 then dy/dx =?

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0

-1/x²

-4/x²

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

Suppose f and g are differentiable function of x then d/dx[f/g]

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[g][f'] - [f][g']/g²

[g'][f] - [f'][g]/g²

[g'][f] - [f'][g]/f²

The PYTHAGORAS theorem describe the relationship between the sides of

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Right angle triangle

Isoceleous Triangle

Equilateral traingle

Tan(x) is continuous every where except at points

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+- kπ/2 where k=(1,3,5.....)

+- kπ/2 where k=(2,4,6.....)

+- kπ/2 where k=(1,2,3,4,5,6.....)

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