Math 2B. Calculus. Lecture 19. Sequences

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 19. Single-Variable Calculus -- Sequences --
Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA

Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on November 13, 2013

[AliHassan-hbbn]

Every integer(N) has two limits, the left limit and the right limit however, an infinity has no two limits or limit at all .

[fleetfeet]

Surprisingly this is not bad. Good job UCI, for once. I'm impressed she started straight with finding the general rule for An, and then went I to the epsilon-n definition of the limit. That's really good work; I hope everyone else in the math department takes this approach as well.

[AliHassan-hbbn]

Denominator goes zero is not denominator is zero because if you say denominator goes to zero you are talking about limit of a function but if you say denominator is zero, it does not hold.

[souhardyasarkar]

Lim an=inf
Def= for each m we can always find a N>m such that aN>am.
Can it be a defination?

[AliHassan-hbbn]

Equilimit functions or trap-limit we call

[namirnader]

السيدة الدكتوره بدي اطلب منك طلب انا سجلت كل محاضراتك على الورق ممكن انشرها بكتاب وبأسمك طبعا لكن أضع اسمي كمترجم فقط... جزاك الله الف خير لو تكرمتي علية بالرد

[yalenasorokina]

Good morning 🌞 it have a similar name as the instructor . Sequence of Calculus shows the

[taphoatranhoang]

really helpful to me now ! thanks alots

[algirdask]

PhD Notations with curly bracets ARE WRONG - it's only FOR SETS. Sequence we must denote (a_n) .

[kevinthomas]

watching this drunk i understand this better

[heshameldawy]

7.56 i think she solved the sequence pattern wrong, and u can check by the calculator

[victoralarconhernandez]

How attractive is Natalia. She is a very beautiful woman.

[surajitbosu]

Please see my video with other two. And comment on this for how I better it ?

[awilmohamoud]

Allah is the Light of the heavens and the earth. The parable of His Light is as a niche and within it a lamp: the lamp is in a glass, the glass as it were a star Durriyyun, lit from a blessed tree, an olive, neither of the east nor of the west, whose oil would almost glow forth, though no fire touched it
the exact translation of the saying is, “I bear witness that there is no deity but Allah, and I bear witness that Muhammad is the messenger of Allah.”

[AliHassan-hbbn]

Russian accent, otherwise excellent.