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The value of ("lim")(xvec0)([(100 x)/(si...

The value of `("lim")_(xvec0)([(100 x)/(sinx)]+[(99sinx)/x])` (where [.] represents the greatest integral function) is 199 (b) 198 (c) 0 (d) none of these

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. If ("lim")(xvec0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n m...

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  2. ("lim")(xvec1)((1-x)(1-x^2)(1-x^(2n)))/({(1-x)(1-x^2)(1-x^n)}^2),n in ...

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  3. The value of ("lim")(xvec0)([(100 x)/(sinx)]+[(99sinx)/x]) (where [.] ...

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  4. If ("lim")(xvec0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n m...

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  5. If ("lim")(xvec0)(x^(-3)sin3x+a x^(-2)+b) exists and is equal to 0, th...

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  6. For let h(x)={1/q if x=p/q and 0 if x is irrational where p & q ...

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  7. ABC is an isosceles triangle described in a circle of radius r.If AB=...

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  8. Let f be a differentiable function on the open interval(a, b). Which o...

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  9. If f(x) = |1 -x|, then the points where sin^-1 (f |x|) is non-differen...

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  10. Let f(x)=1/(1+e^(1/x))for\ x!=0\ a n d\ f(0)=0 , then f(0^+) does not ...

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  11. Let f(x)=[(sinx)/x]+[(2sin2x)/x]++[(10sin10 x)/x] (where [.] is the gr...

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  12. In a quadratic equation ax^2 + bx+c= 0 if 'a' and 'c' are of opposite ...

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  13. Let f(x)""=""x|x|""a n d""g(x)""=""s in x Statement 1 : gof is diff...

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  14. Statement 1:(lim)(x->0)sin^(-1){x}\ does not exist (where {.} denot...

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  15. Statement 1: lim(x->0) sqrt(1-cos 2x)/x does not existe . Statement 2...

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  16. Statement 1: If f(x)={x ,\ if\ x\ i s\ irr a t ion a l1-x ,\ if\ x\ i ...

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  17. Statement 1: (lim)(x->0)[x]((e^(1//x)-1)/(e^(1//x)+1)) (where [.] repr...

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  18. Statement 1: The function f(x)=[[x]]-2[x-1]+[x+2] is discontinuous ...

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  19. Let f(x)=-ax^2-b|x|-c, -alpha le x lt 0, ax^2+b|x|+c 0 le x le alpha ...

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  20. Let f(x)={1+(2x)/a ,0lt=x<1a x ,1lt=x<2dotIf("lim")(xvec1)f(x)e xi s t...

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