12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-3

  • question_answer Suppose\[p\,(x)={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+.....+{{a}_{n}}{{x}^{n}}\]. If\[|p\,(x)|\,\le \,|{{e}^{x}}^{-1}-1|\]for all \[x\ge 0,\] then ____.

    A)  \[|{{a}_{1}}+2{{a}_{2}}+3{{a}_{3}}+...+n{{a}_{n}}|\le 1\]

    B)  \[|{{a}_{1}}+2{{a}_{2}}+3{{a}_{3}}+...+n{{a}_{n}}|\ge 1\]

    C)  \[|{{a}_{1}}+2{{a}_{2}}+3{{a}_{3}}+...+n{{a}_{n}}|\ge 0\]

    D)  \[|{{a}_{1}}+2{{a}_{2}}+3{{a}_{3}}+...+n{{a}_{n}}|\le 0\]

    Correct Answer: A

    Solution :

    Not Available

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