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Let S=(2)/(1)""^(n)C(0)+(2^(2))/(2)""^(n...

Let `S=(2)/(1)""^(n)C_(0)+(2^(2))/(2)""^(n)C_(1)+(2^(3))/(3)""^(n)C_(2)+…+(2^(n+1))/(n+1)""^(n)C_(n)`. Then S equals

A

`(2^(n+1)-1)/(n+1)`

B

`(3^(n+1)-1)/(n+1)`

C

`(3^(n)-1)/(n)`

D

`(2^(n)-1)/(n)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
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  2. Out of 7 consonants and 4 vowels, the number of words (not necessarily...

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  3. Let S=(2)/(1)""^(n)C(0)+(2^(2))/(2)""^(n)C(1)+(2^(3))/(3)""^(n)C(2)+…+...

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  7. The range of the function y=3sin(sqrt((pi^(2))/(16)-x^(2))) is

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  8. The value of lim( x to 0) (int(0)^(x^(2)) cos(t^(2))dt)/(x sinx) is

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  9. Let f(x) be a differentiable function and f'(4)=5. Then lim(x to 2) (f...

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  10. The sum of the series sum(n=1)^(oo) sin((n !pi)/(720)) is

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  12. The coefficient of x^(3) in the infinite series expansion of (2)/((1-x...

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  13. For every real number x, let f(x)=(x)/(1!)+(3)/(2!) x^(2)+(7)/(3!) x...

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  14. Let S denote the sum of the infinite series 1+(8)/(2!)+(21)/(3!) +(40...

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  16. Suppose that f(x) is a differentiable function such that f'(x) is con...

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  17. Let z(1) be a fixed point on the circle of radius 1 centered at the o...

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  18. Suppose that z(1), z(2), z(3) are three vertices of an equilateral tr...

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  19. The curve y=(cosx+y)^(1//2) satisfies the differential equation

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