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Prove that lim(xrarr0)sqrt(1-cosx)/xdoes...

Prove that `lim_(xrarr0)sqrt(1-cosx)/x`does not exist

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2015-EXERCISE
  1. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and ...

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  2. A moving straight line always passes through a fixed point (alpha,beta...

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  3. Find equations of all possible circles that touch the y axis at the po...

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  4. A ray of light along the line x-2y+5=0 is reflected from the line 3x-2...

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  5. Find the co-ordinates of vertices of a unit cube where the three concu...

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  6. Prove that lim(xrarr0)sqrt(1-cosx)/xdoes not exist

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  7. Find f'(0)where f(x)=|x+1|+|x-1|.

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  8. Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether...

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  9. Let a statement p:/\ABCis right angle triangle,and another check wheth...

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  10. Let a statement p:/\ABCis right angle triangle,and another statement q...

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  11. Let a statement p:/\ABCis right angle triangle,and another statement q...

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  12. Let a statement p:/\ABCis right angle triangle,and another statement q...

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  13. Find the standard deviation of the diameters of the circles given in t...

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  14. Find the median of first n-natural numbers.

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  15. Give an example of a relation defined on set of integers which is symm...

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  16. Find the domain and range of the function f(x)=x/(x^2-5x+4)

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  17. If tan (theta/2)=tan^3 (phi/2)and tanphi=2tanalpha,then prove that the...

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  18. If a/2=b/3 =c/4 =(3a-ab+4c)/p, then find the value of p.

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  19. Prove that amp(z)-amp(-z)=+-pi,according as amp(z) is positive or nega...

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  20. The equation of the axis and directrix of a parabola are x-y+3=0.One o...

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