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prove that :-C1 - 1/2 C2 + 1/3 C3 + ... ...

prove that :-`C_1 - 1/2 C_2 + 1/3 C_3 + ... + (-1)^(n+1) 1/n C_n` = 1+1/2 + .... +1/n

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SHARAM PUBLICATION-QUESTION PAPER 2014-EXERCISE
  1. Find the differential equation whose general solution is ax^(2)+by=1, ...

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  2. If the sum of two unit vectors is a unit vectors find the magnitude of...

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  3. Find the value of lambda such that the following vectors are coplanar:...

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  4. Find the co-ordinates of the foot of the perpendicular from the point ...

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  5. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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  6. Using the method of elemination find the symmetrical form of equation ...

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  7. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  8. If A and B are square matrices of same order, then show by means of an...

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  9. If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...

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  10. Five cities A,B,C,D,E are connected to each other by straight roads. W...

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  11. Two balls are drawn from a bag containing 6 red and 4 yellow balls. Fi...

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  12. A person draws three cards at random one after another from a pack of ...

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  13. Evaluate: overset(pi)underset(0)int x/(1+sinx)dx

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  14. Solve the following differential equations (x+tany)dy= sin 2y ""dx

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  15. Prove that by vector methord, in any Delta ABC, (a)/(sin A) = (b)/(sin...

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  16. Find the equation of the sphere inscribed in a tetrahedron whose faces...

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  17. Solve the following LPP Maximise Z=20x+10y Subject to x+2yle40, ...

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  18. Solve the following system of equations by the matrix inversion method...

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  19. prove that :-C1 - 1/2 C2 + 1/3 C3 + ... + (-1)^(n+1) 1/n Cn = 1+1/2 + ...

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  20. The probability of a shooter hitting a target is (3)/(4) Find the mini...

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