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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. Lim(n to oo) (-1)^(n)sin(pisqrt(n^(2)+n)), n epsilon N is

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  2. If f(x)=int(sinx)/(cos^(2)x)(1-3sin^(3)x)dx, then value of (f(0)-f(pi)...

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

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  5. If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2), then (dy)/(dx) is equal ...

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  6. f:RtoR such that f(2)=5 and f'(2)=10 thenlim(xto0) ((f(2+x))/(f(2)))^(...

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  7. The value of lim(xto0^(+))(x^(x)+(tanx)^(cosecx)+(cosecx)^(tanx)) is...

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

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

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

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  12. If quadratic equation (1+m)x^(2)-2(1+3m)x-2(1+m)=0 has one root greate...

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

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

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  15. Let f:RtoR f(x)=x+3x^(3)+5x^(5)+………..+1001x^(1001) then which of fol...

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

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

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

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  20. lim(nto oo) (1-1/(2^(2)))(1-1/(3^(2)))(1-1/(4^(2)))…………….(1-1/(n^(2)))...

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