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The value of ("lim")(xvec0)[1/n+(e^(1/n)...

The value of `("lim")_(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))/n]i s` 1 (b) 0 (c) `e-1` (d) `e+1`

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RESONANCE DPP-JEE MAINS-All Questions
  1. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

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  2. If the function f(x)=(4,sin ^2 x-1)^n(x^2-x+1)n in N has a local maxim...

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  3. The value of ("lim")(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

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  4. Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (...

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  5. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

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  6. Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)...

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  7. The value of c in Rolles theorem for the function f(x)=(x(x+1))/(e^...

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  8. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

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  9. a,b,c are positive real numbers such that loga(b-c)=logb/(c-a)=logc/(a...

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  10. The system of equations 'alpha' x+y+z=1,x+2y+4z=alpha and x+4y+10 z=...

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  11. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

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  12. Let f(x) be a function such that f''(x) = f'(x) + e^x and f'(0) =1 ,f(...

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  13. If |x^2-5x+3 2x-5 3 3x^2+x+4 6x+1 9 7x^2-6x+9 14 x-6 21| =a x^3+b x^...

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  14. If y = x^3-3x + 2, then draw the graph of the followings (i) y=|x^3-3x...

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  15. The equation of a line which is parallel to the line common to the pai...

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  16. If y = x^3-3x + 2, then draw the graph of the followings (i) y=|x^3-3x...

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  17. If point (a ,a) lies in between the lines |x+y|=6 , then ' a ' may sat...

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  18. If sintheta+costheta=1/5"and"0 le theta ltpi, thentantheta is

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  19. ) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...

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  20. If a x ^2+b x+c=0 has imaginary roots and a-b+c >0 then the set of p...

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