Sequences | Convergence and Divergence

Показать описание

We show convergence or divergence of some sequences.

Рекомендации по теме

Комментарии

Typo in solution of 1: the difference in the numerator must be addition

KOMATH

I like how everything is just so conventional...there are no difficult problems or easy problems...we just have problems...so calming

BeastMaker

Please for the first exercise why did you change the sign of 3 in the numerator?from +3 to -3

LenaAbanda

But I don't understand. Our lecture told us that when the limit of An = 0 there is no conclusion, but if summation from 1 to infinity converges then An tends towards 0 and not vice versa. Please clarify me on this one

KatlegoLamola-tvso

Thanks for explanation, do you have video for proving that as well?

alirezaansari

I am confused (question 3) how are we having √n after dividing n^2 in √n^3

HabibaMusonda

THANKYOU SO MUCH SIR..
RESPECT FROM PAKISTAN

nahiakhan

Woww!! Helped me understand the limits of sequence better.

steff.y

Hello sir,
(1+1/n)^-5 is convergent but how to find its boundness
Please sir explain this my exams are coming

naruto_

Dear Professor K.O.MATH,

In question 7, how could we know that we divide both denominator and numerator for 3^n? Thank you very much.

nguyendk

It's really helpful video... Thanku so much sir..

mankoodhiman

Very helpful sir, make more videos for bsc 5th semester

sandeepdappi

When I am asked to test whether the series is convergent or divergent
I proceed as an+1 - an and i check if it's less than 0 and finally put limit n-♾️ in an

PratimMukherjee

Quand utilise-t-on la règle de L'Hubetal ?? Est à 0/0 et aussi à &/&

MahdiMahdi-obyo

Sir in 1st problem, if we take n^4 common answer is 1. Then it will be convergent sir. Please clarify my doubt sir.

halavathudhairyavalli

Good work sir it really very easy understand thank u for this video

raviramkiranbharadwaj

great selection of examples. thank you

andrestejeiro

hi sir, may i know on question 3, why did you multiply the numerator and denominator with 1/squareroot n3?

khairinmasturahbintiabdulh

Dear Professor K.O.MATH,

How could I find the limit of this sequence an = 3^n / 4^n

Thank you so much.

nguyendk

How do you say an is convergent surely when an = 0 because it is necessary but not sufficient....please correct it will confuse many student..

mathdude

Sequences | Convergence and Divergence

Converging and Diverging Sequences Using Limits - Practice Problems

Convergence and Divergence - Introduction to Series

Convergence and Divergence: The Return of Sequences and Series

Sequences | Convergence and Divergence

Convergent and divergent sequences | Series | AP Calculus BC | Khan Academy

Calculus 2 Lecture 9.1: Convergence and Divergence of Sequences

Series & Sequences: Convergence and Divergence

Determining whether a sequence converges or diverges

Worked example: sequence convergence/divergence | Series | AP Calculus BC | Khan Academy

Choosing Which Convergence Test to Apply to 8 Series

Distinguish Between Convergence & Divergence : Math-Tastic

Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test, Alternating Series, Integral Test

Sequences: Proving Convergence and Divergence

Complex Sequences ( Convergence and Divergence)

Convergence and Divergence of Sequence in Urdu/Hindi (M.K.F.A)

Geometric series convergence and divergence examples | Precalculus | Khan Academy

Divergence Test For Series - Calculus 2

Sequence & Series | Convergence & Divergence | Introduction | Maths

Does the sequence converge or diverge? (KristaKingMath)

Improper Integrals - Convergence and Divergence - Calculus 2

Simple Guide to Series Convergence Tests

Proving a sequence converges using the formal definition | Series | AP Calculus BC | Khan Academy

Calculus II: Sequences (convergence or divergence, part 1 of 6)

3. Convergence, Divergence & Oscillation of a Sequence | Complete Concept | Infinite Series