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Evaluate the following: (lim)(x->0^+)xsi...

Evaluate the following: `(lim)_(x->0^+)xsin1//x`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite s...

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  2. The number of terms of an A.P. is even; the sum of the odd terms is ...

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  3. Evaluate the following: (lim)(x->0^+)xsin1//x

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  4. If z=1+it h e nz^(10) reduces to: A purely imaginary number An imagina...

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  5. Evaluate the following: lim(xrarrpi/2)(2sin x+3)/(3cos x+3)

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  6. Let y be an implicit function of x defined by x^(2x)-2x^(x) cot y-1=0...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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