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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.
अब आप No calculator settles this one, but the pieces of it are computable. Try one below, or type your own.
एक स्वतंत्र वृत्तान्त प्रत्येक पाठ पर आगे कहता है, जो आपने पूरा किया है, आपके हल किये गये समस्याओं का रिकॉर्ड, और एक शिक्षक जिसके बारे में आप पूछ सकते हैं ।
साइन अप करें लॉगिनयहाँ उपयोग में संकेत
पूरी परिभाषा, चित्र, और इसमें हर अक्षर का अर्थ क्या है?
लोग जो सवाल पूछते हैं
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.
Parts of this page are adapted from Wikipedia (CC BY-SA 4.0). यहाँ संक्षिप्त करके दोबारा समझाया गया है; गलतियाँ हमारी हैं।
More in Real Analysis
Sequences and their limitsConvergence of seriesImproper integralsTaylor approximation and errorFunctions of a complex variableContinuity and differentiability, rigorouslySequences of functions and uniform convergence