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Evaluate :lim(xrarroo)(1+2+3+...+n)/n^2...

Evaluate :`lim_(xrarroo)(1+2+3+...+n)/n^2`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 11-EXERCISE
  1. Find the co-ordinate of the image of (3, 2, -4) on xy plane.

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  2. If f(x)=x^5+x^3-2x+3,Prove that f'(1)+f'(-1)=4f(0).

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  3. Evaluate :lim(xrarroo)(1+2+3+...+n)/n^2

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  4. For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).

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  5. For any two positive acute angles theta and phi if sin(theta+phi)=k s...

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  6. Solve :sqrt3sinx+cosx=2

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  7. Prove by mathematical induction. 1.1! + 2. 2! + 3. 3! + ... +n . n! = ...

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  8. If z = x + iy then l z - 8| + Iz + 8| = 20. represents a ellipse

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  9. If (1+x)^n=c0+c1x+c2x^2+....+cnx^n,then show that c0/1+c2/3+c4/5+...=2...

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  10. If the ath and bth term of an AP are 1/b and 1/a,then show that (ab)th...

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  11. In /\XYZthe co-ordinate of Y and Z are (-a, 0) and (a, 0), andangle XZ...

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  12. If the three straight lines ax + 2y + 1 = 0, 3y + bx + 1 = 0 and cx+ 4...

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  13. If the circles x^2+y^2+2ax+c^2=0and x^2+y^2+2by+c^2=0touch each other,...

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  14. Find the co-ordinate of a point equidistance from the points' (0, 0. 0...

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  15. Prove that lim(xrarr1)(x^2-sqrtx)/(sqrtx-1)=3

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  16. Prove that sqrt5 is irrational, (use the method of contradiction).

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  17. In xy plane, |x — y | = 1 represents an equation of a circle and one d...

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  18. Find the mean diaviation with respect to median of the frequency dist...

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  19. If (acosthetasecphi-x)/(asin(theta+phi))=(y-bsinthetasecphi)/(bcos(th...

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  20. If sinalpha+sinbeta=1/2,cosalpha+cosbeta=5/4find the value of tanalpha...

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