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

Find the following: `lim_(xrarr0^+)({x})^(1//x)`

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RESONANCE DPP-JEE MAINS-All Questions
  1. Find the following: lim(xrarr0^+)(1+{x})^(1//x)

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  2. If in a DeltaABC, the altitudes from the vertices A, B, C on opposite ...

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

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

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  5. In a triangle ABC, if cos A cos B + sin A sin B sin C = 1, then a:b:c ...

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

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  7. Which of the following holds goods for any tiangle ABC, a,b,c are the ...

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

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  9. int(dx)/((x^2+4x+5)^2)i se q u a lto 1/2[tan^(-1)(x+1)+("x"+2)/("x"^...

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  10. In a triangle, with usual notations, the length of the bisector of ang...

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

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

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

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  15. If f(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4) then f^(prime)(2) has th...

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

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

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  18. If I(m,n)=int0^1 t^m(1+t)^n.dt, then the expression for I(m,n) in term...

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  19. In a triangle PQR, P is the largest angle and cosP=1/3. Further the in...

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  20. ((lim)(xvecoo)int0x(tan^(-1)t)^2dt)/(sqrt(x^2+1))h a st h ev a l u e ...

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