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If Lim(x to 0)(ae^(x)-bln(1+x)+ce^(-x))/...

If `Lim_(x to 0)(ae^(x)-bln(1+x)+ce^(-x))/(x sin x)=2` then value of `a+b+c` is

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ALLEN-TEST PAPERS-MATHEMATICS
  1. If introot(3)(x).root(5)(1+root(3)(x^(4)))dx=5/8(1+x^(4/a))^((2a)/b)+c...

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  2. If x=cos^(7)theta and y=sin theta and (d^(3)x)/(dy^(3))=105/a sin (a t...

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  3. If Lim(x to 0)(ae^(x)-bln(1+x)+ce^(-x))/(x sin x)=2 then value of a+b+...

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  4. If intsqrt(1-cosx)f(x)dx=2/3(1-cosx)^(3//2)+c where c is constant of i...

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  5. "If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-4), then the value of f'''(1)+...

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  6. If y=f((2x-1)/(x^2+1))andf^'(x)=sinx^2, then find (dy)/(dx)

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  7. If f (x)=((x+1)^(7)sqrt(1+x ^(2)))/((x^(2) -x+1)^(6)), then the value ...

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  8. f:RtoR is defined as f(x)=x^(3)+2x^(2)+7x+cos(pix) and g be the invers...

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  9. y=sinx+e^(x) then (d^(2)x)/(dy^(2)) is:

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  10. Let f(x) be a cubic polynomical such that f'(x)=0 at x=1 and x=3, f(1)...

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  11. lim(xto oo)(ln(x^(2)+5x)-2ln(cx+1)=-2 then

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  12. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2+cot^2x)...

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  13. The quadratic polynomial p(x) has the following properties:p(x)geq0 fo...

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  14. Number of points on [0,2] where f(x)={(x{x}+1,(0lexlt1),(2-{x},1lex...

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  15. Let sin theta-cos theta=1 then the value of sin^(3) theta-cos^(3)theta...

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  16. Domain off(x)=log(x^2+5x+6)/([x]-1)where [.] denotes greatest integer ...

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  17. The vaue of x satisfying sin^(-1)(x)+sin^(-1)(sqrt(15)x)=(pi)/2 is

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  18. The sum sum(n=1)^oo tan^(-1)(3/(n^2+n-1)) is equal to

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  19. Range of f(x)=sin^(-1)x+tan^(-1)x+sqrt(x+1) is [a,b] then b+a is equal...

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  20. Let f(x)={(cos[x],xge0),(|x|+a,xlt0):} (where [.] denotes greatest i...

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