Proof of p-series convergence criteria | Series | AP Calculus BC | Khan Academy

Показать описание

A p-series converges for p "greater than" 1 and diverges for 0.

AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test

For free. For everyone. Forever. #YouCanLearnAnything

Рекомендации по теме

Комментарии

AMAZING explanation. Brilliant and simple

tobiasscott

here in this vid is the best, I just understood the p-series test thoroughly

montoanemaapeya

It's a pretty smart trick for seeing whether series converge, and I see how this could be applied to other types of functions. Thanks for the explanation, this definitely beats a statement of fact! 😊✊🏽🎊

ozzyfromspace

why put the limitation of p > 0 if when p <= 0 we diverge by n-th term test:
p = 0:
1 + 1 + ... + 1 + ... - diverges because it's not decreasing
p < 0:
m = -p
x^m + (x+1)^m + ... - diverges as well (the polynomial keeps increasing)

beegdigit

If you would have made these videos earlier...

ericrios

i would like u to have some rest Sal hope u have good and healthy body #google translate might help me but nah

davidnemewe

This proof misses the case where p is negative.

Vabloath

What's up with the echo in this video? Did he transcend and become a maths god

seeuclon

Proof of p-series convergence criteria | Series | AP Calculus BC | Khan Academy

Proof of p-series convergence criteria | Series | AP Calculus BC | Khan Academy

Proving p series convergence criteria

Series | Lecture 18 | Condition for Convergence of p - series

Proof of p-Series Test

P-Series Introduction and Proof

Choosing Which Convergence Test to Apply to 8 Series

11.3: Proof of the p-Series

Proof of p-series convergence criteria

Proof of p-series convergence criteria

convergence of p series proof using the integral test

P-Series - Proof

The p-Series Convergence Test

P Series test proof | convergence and divergence of a series

P-series

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

Session 5 : Integral test with examples and proof of P- Series test.

Proof of p series convergence criteria | Seq Ser | Post Sec Math | KA Urdu

P-series and P-Series Test | Calculus 2

p series test proof|hyper harmonic series test proof

state and prove P-series test

P-Series Test for Infinite Series (Convergence Test)

p series converges if p greater than 1 and diverges if p less or equal to 1. Real Analysis I, Lec-56

Math Tutorial - Series Convergence P-Series

Convergence and Divergence - Introduction to Series