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For the functionf(x) =(x^(100))/(100)+(x...

For the function`f(x) =(x^(100))/(100)+(x^(99))/(99)+...+(x^2)/2+x+1.`

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To solve the problem, we need to find the derivative of the function \[ f(x) = \frac{x^{100}}{100} + \frac{x^{99}}{99} + \ldots + \frac{x^2}{2} + x + 1 \] and prove that ...
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