maths.free › Real Analysis › Sequences and series › Comparison test
Comparison test
Comparison test can mean:Limit comparison test, a method of testing for the convergence of an infinite series.Direct comparison test, a way of deducing the convergence or divergence of an infinite series or an improper…
Comparison test
Comparison test can mean:
- Limit comparison test, a method of testing for the convergence of an infinite series.
- Direct comparison test, a way of deducing the convergence or divergence of an infinite series or an improper integral.
حالا تو هیچ ماشین حسابی این را حل نمیکند ، اما تکههای آن قابل محاسبه هستند. یکی از زیر را امتحان کنید ، یا خودتان را تایپ کنید.
نمادهای استفادهشده در اینجا
هر نماد را برای تعریف کامل، تصویر و معنی هر حرف در آن بزنید.
سوالاتي که مردم ميپرسن
What is the ε, δ definition actually saying?
That you can make the output as close to the limit as anyone demands (within ε) by keeping the input close enough (within δ). It replaces "approaches" with a challenge-and-response that can be checked.
Why does the harmonic series diverge when its terms go to zero?
Because the terms shrink too slowly: group them as 1/3 + 1/4 > 1/2, 1/5 + … + 1/8 > 1/2, and so on: infinitely many halves.
این صفحه از این مقاله اقتباس شدهاست. Wikipedia (CC BY-SA 4.0). این گزاره را میتوان به صورت زیر بیان کرد: اشتباهات ما، اشتباهات ما هستند.
بیشتر در Real Analysis
Sequences and their limitsConvergence of seriesImproper integralsTaylor approximation and errorFunctions of a complex variableContinuity and differentiability, rigorouslySequences of functions and uniform convergence