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prove "lim"(xvecoo)(ln x)/([x])="lim"(...

prove ` "lim"_(xvecoo)(ln x)/([x])="lim"_(xvecoo)([x])/(ln x)` where [.] is G.I.F. & {.} denotes fractional part function

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RESONANCE DPP-JEE MAINS-All Questions
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  2. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/...

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  3. prove "lim"(xvecoo)(ln x)/([x])="lim"(xvecoo)([x])/(ln x) where [.]...

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  4. In which of the following function, range is not singleton set f(x)...

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  7. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

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  8. If A=([a(i j)])(3x3') such that a(i j)={2,,i=j0,i!=j ,t h e n |A|=8 ...

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  9. Which of the following intervals is possible domain of the function...

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  10. The domain of the function f(x)=1/(sqrt(^(10)C(x-1)-3.^(10)Cx)) conta...

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  11. The set of values of lambda for which the vectors vec a=(lambda(log)2...

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  12. Which of the following is true?

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  13. Show that the substitution z=ln(tan(x/2)) changes the equation (d^2y)/...

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  16. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

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  17. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

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  18. Let f:(-1,1)vecR be a differentiable function with f(0)=-1 and f^(prim...

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

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  20. If x^m y^n=(x+y)^(m+n), then (dy)/(dx) is (x+y)/(x y) (b) x y (c) x/...

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