heinerL said:Can anybody help me with the following:
[tex]\lim_{n \rightarrow \infty} \frac{1^k+2^k+...+n^k}{n^{k+1}}=\frac{1}{k+1}[/tex]
How do you proof this equation with the Riemann-integral, especially with upper/lower riemann sums?
thank you!
"Proof of a Sum_Integral" is a mathematical concept that involves using integration to prove that two functions are equivalent in a certain range.
In "Proof of a Sum_Integral", the integral of two functions is taken and then compared to the sum of the same two functions. If the two results are equal, then it can be proven that the two functions are equivalent in that range.
The purpose of using "Proof of a Sum_Integral" is to provide a rigorous and mathematical way to prove that two functions are equivalent in a certain range. This can be useful in various applications, such as in physics and engineering.
One limitation of "Proof of a Sum_Integral" is that it can only be used to prove equivalence in a certain range. If the range is not specified, the proof may not hold. Additionally, it may not be applicable to all types of functions.
Yes, "Proof of a Sum_Integral" can also be used to prove inequalities. By comparing the integral of two functions and their sum, it can be shown which function is greater in a certain range.