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Find the limits (i) (lim)(x""->1)[(x^2+...

Find the limits (i) `(lim)_(x""->1)[(x^2+1)/(x+100)]` (ii) `(lim)_(x""->2)[(x^3-4x^2+4x)/(x^2-4)]` (iii) `(lim)_(x""->2)[(x^2-4)/(x^3-4x^2+4x)]` (iv) `(lim)_(x""->2)[(x^3-2x^2)/(x^2-5x+6)]` (v) `(lim)_(x""->1)[(x-2)/(x^2-x)-1/(x^3-3x^2+2x)]`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let y be an implicit function of x defined by x^(2x)-2x^(x) cot y-1=0...

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  2. In a triange, the line joining the circumcentre to the incentre is par...

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  3. Find the limits (i) (lim)(x""->1)[(x^2+1)/(x+100)] (ii) (lim)(x""->2...

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  4. If y^(2)=p(x) is a polynomial of degree 3, then 2(d)/(dx)(y^(3)(d^(2)y...

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  5. In acute angled triangle A B C ,A D is the altitude. Circle drawn with...

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  6. Find the following: lim(xrarr0)(1+x)^(1//x)

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  7. If in Delta ABC, the altitudes from the vertices A, B and C on opposit...

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  8. Find the following: lim(xrarr0^+)({x})^(1//x)

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  9. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then side c is

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  10. Find the following: lim(xrarroo)(x^2-3x+2)/(x^3+3x)

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  11. If in a Delta ABC , cos a cos B +- sin A sin B sin C = 1, then show th...

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  12. Which of the following is and determinate form (lim)(xvec1)(x^3-1)/(x-...

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  13. Evaluate the following: lim(xrarr1)(x^3-1)/(x^2-6x+5)

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  14. Evaluate the following: lim(xto1/3)(3x^2+5x-2)/(9x^2-1)

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  15. If varphi(x)=int(1/x)^(sqrt(x))sin(t^2)dt then varphi^(prime)(1)= a....

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  16. In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdo...

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  17. An ordinary cubical dice having six faces marked with alphabets A, ...

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  18. If f(x)=e^(g(x)) and g(x)=int(2)^(x)(tdt)/(1+t^(4)), the find the valu...

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  19. Three equal circles each of radius r touch one another. The radius of ...

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  20. Let V be the vertex and L be the latusrectum of the parabola x^2=2y+4x...

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