Lagrange remainder theorem applied


Determine a simple bound upon the error when you approximate the integral of ln(x) from n to n+1, using trapazoidal rule. (Hint): First, there is the simple anti derivative of ln(x), so you can get the exact answer. To resolve the problem you want to employ the Lagrange remainder theorem applied to ln(1+x). The key is that ln(n+1) - ln(n) = ln(1 + 1/n).

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Mathematics: Lagrange remainder theorem applied
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