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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.
ປັດຈຸບັນທ່ານ ບໍ່ມີເຄື່ອງຄິດໄລ່ທີ່ຈະແກ້ໄຂບັນຫານີ້ໄດ້, ແຕ່ສ່ວນຂອງມັນສາມາດຄິດໄລ່ໄດ້. ພະຍາຍາມອັນໃດອັນໜຶ່ງຂ້າງລຸ່ມນີ້ ຫຼື ພິມຕົວເອງເອງ.
ຕົວສະແດງທີ່ໃຊ້ຢູ່ທີ່ນີ້
ກົດຕົວອັກສອນໃດໜຶ່ງເພື່ອເບິ່ງຄວາມໝາຍເຕັມ, ຮູບ ແລະ ຕົວອັກສອນແຕ່ລະຕົວໃນມັນໝາຍຄວາມວ່າແນວໃດ.
ຄໍາຖາມທີ່ຄົນຖາມ
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.
ບາງສ່ວນຂອງ ໜ້າ ນີ້ ຖືກປັບແຕ່ງຈາກ Wikipedia (CC BY-SA 4.0). ຖືກປະສົມປະສານແລະອະທິບາຍຄືນໃໝ່ທີ່ນີ້; ຄວາມຜິດພາດແມ່ນຂອງເຮົາ.
ເພີ່ມເຕີມໃນ Real Analysis
Sequences and their limitsConvergence of seriesImproper integralsTaylor approximation and errorFunctions of a complex variableContinuity and differentiability, rigorouslySequences of functions and uniform convergence