Finding the sum of ln(n)/n , n=1 to infinity
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Finding the sum of ln(n)/n , n=1 to infinity
Today, I will show you how to find the sum from N equals one to positive infinity of ln(n)/n. To begin, let f(x) be equal to ln(x)/x. We need to determine where f(x) starts to decrease. By taking the derivative of f(x), which is -ln(x+1)/x^2, we find that f'(x) is negative when ln(x+1)/x^2 is less than zero. Solving this inequality, we get ln(x ...
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