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If f(x) is a monic polynomial of degree ...

If `f(x)` is a monic polynomial of degree `'3'` such that `lim_(x to 0) (1+f(x))^(1/(x^(2)))=e^(-3), g(x)=(f(x))/(x^(3))dx` and `g(1)=1` then On the basis of above information, answer the following question: Value of `g(e)` is

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ALLEN -TEST PAPERS-MATHEMATICS
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  2. If f(x) is a monic polynomial of degree '3' such that lim(x to 0) (1+f...

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  3. If f(x) is a monic polynomial of degree '3' such that lim(x to 0) (1+f...

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  4. Let there are two functions defined of f(x)="min"{|x|,|x-1|} on the...

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  5. Let there are two functions defined of f(x)="min"{|x|,|x-1|,|x+1+] ...

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  6. There are positive integer x and y satisfying system of equations lo...

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

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

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  10. If the equation 4sin(x+(pi)/3)cos(x-(pi)/3)=a^(2)+sqrt(3)+sin2x-cos2x ...

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

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  13. 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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  14. Given the correct order of initials T or F for the following statement...

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  15. Which is NOT correctly matched?

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  16. Select the INCORRECT order.

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  17. Consider the following conversions: N(2)toN(2)^(+) O(2) to O(2)^(+...

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  18. Optically inactive molecule in the following?

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  19. Which of the follownig will show geometrical isomerism?

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  20. Correct IUPAC name of given compound is

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