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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)=int(f(x))/(x^(3))dx` and `g(1)=1` then
On the basis of above information, answer the following question:
If `f:RtoR` then which of the following is/are true about `f(x)`?

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

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

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

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

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

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  17. Select the INCORRECT order.

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

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  20. Which of the follownig will show geometrical isomerism?

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