The sum of the series 1+3x+5x2+7x3+....+(2n-1)xn-1+....is:

1.  (1+x)/(1-x)

2.  (1+x)/(1-x2)

3.  (1+x)2/(1-x)

4.  [(1+x)/(1-x)]2

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4
Correct Answer :

(1+x)/(1-x2)


Explanation :
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1.  a/x2+a2

2.  2a/x2+a2

3.  4a/x2+a2

4.  a2/x2+a2

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4
Correct Answer :

4a/x2+a2


Explanation :
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I.Two non-zero,non-collinear vectors are linearly independent. II.:Any three coplanar vectors are lenearly dependent.Which of the above stat

1.  Only I

2.  Only II

3.  Both I and II

4.  Neither I nor II

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4
Correct Answer :

Both I and II


Explanation :
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If f:R→R is an even function which is twice differentiable on R and f"(x)=1,then f "(-π) is equal to:

1.  -1

2.  0

3.  1

4.  2

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4
Correct Answer :

1


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Observe the following statements: I.f(x)=ax41+bx-40⇒f"(x)/f(x)=1640x-2

1.  I is true,but II is false

2.  Both I and II are true

3.  Neither I nor II is true

4.  I is false,but II is true

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4
Correct Answer :

I is true,but II is false


Explanation :
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If u=sin-1(x/y)+tan-1(y/x),then the value of x(∂u/∂x)+y((∂u/∂y) is:

1.  0

2.  1

3.  2

4.  none of these

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4
Correct Answer :

0


Explanation :
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If f:R→R and g:R→R are defined by f(x)=1/2-cos3x for each xεR, then the range of f is

1.  (1/3, 1)

2.  [1/3, 1]

3.  (1, 2)

4.  [1, 2]

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4
Correct Answer :

[1/3, 1]


Explanation :
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