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Why? It shows that the big ≈ is a correct approximation.anhnha said:Thank you. However, that doesn't solve the problem. What need to be proved is different.
You're right. But that doesn't matter much. The same general procedure could be used for this.anhnha said:Thank you all.
I think you misread the question a bit. The expression on the right hand side of the equation is [tex]e^{-\frac{t}{τ}}[/tex] with [tex]τ = τ_1 + τ_2[/tex].
An approximation formula proof is a mathematical method used to estimate the value of a function or equation. It involves using a simplified version of the original equation to get a close approximation of the actual value.
Approximation formula proofs are used because they provide a quick and efficient way to estimate values of complicated functions or equations. They are also useful in situations where the exact value is not needed, but only an approximate value is required.
The accuracy of an approximation formula proof depends on the complexity of the original equation and the chosen approximation method. In general, the closer the approximation method is to the original equation, the more accurate the result will be.
No, not all functions or equations can be approximated using a formula proof. The feasibility of using a formula proof depends on the complexity of the equation and the availability of suitable approximation methods. Some equations may require more advanced techniques for approximation.
Yes, there are limitations to using approximation formula proofs. These proofs only provide an estimate of the value and not the exact value. They also assume that the function or equation is continuous and differentiable, which may not always be the case. Additionally, the accuracy of the approximation may decrease as the value being estimated becomes larger.