Calculus 2: Comparison Tests (Section 11.4) | Math with Professor V

Introduction to the Comparison and Limit Comparison Tests; examples of how to apply each of the tests when determining the convergence/divergence of infinite series.
Don't forget to LIKE, Comment, & Subscribe!
xoxo,
Professor V
linktr.ee/mathwithprofessorv
Calculus 2 Lecture Videos on Integration:
Integration by parts: • Calculus 2: Integratio...
Tabular Integration: • Integration by Parts -...
Trigonometric integrals: • Calculus 2: Trigonomet...
Trigonometric Substitution: • Calculus 2: Trigonomet...
Partial Fraction Decomposition: • Calculus 2: Integratio...
Strategy for Integration: • Calculus 2: Strategy f...
Improper Integrals: • Calculus 2: Improper I...
Trig Review:
Unit Circle: • Trigonometry: Circular...
Trig Identities: • Precalculus: Trigonome...
Sum and Difference Formulas: • Precalculus: Sum and D...
Double Angle & Half-Angle Formulas: • Precalculus: The Doubl...
Calculus 3 Video Lectures:
• Calculus 3 Video Lectures
#mathwithprofessorv #integration #partialfractions #partialfractionmethod #partialfractiondecomposition #trigonometricsubstitution #trigintegrals #trigsubstitution #integrals #integralcalculus #calculus2 #calculusvideos #calculus2videos #integralvideos #trigonometricintegrals #math #youtubemath #mathvideos #mathtutor #mathprofessor #calculusvideos #integrationbyparts #integralcalculus
Join this channel to get access to perks:
/ @mathwithprofessorv
Socials:
IG: @mathwithprofessorv
TikTok: @mathwithprofessorv
I'm also an Amazon influencer, so feel free to support and shop:
amazon.com/shop/mathwithprofe...
EXCITING NEWS: You can now sign up for my Patreon at the link below!
/ mathwithprofessorv
My Patreon is a place for students to have access to exclusive ad-free content not available on my KZbin channel! Access to the library of additional videos, worksheets, and more is available with the "Star Pupil Package" tier for just $9.99/month (USD).
/ mathwithprofessorv
This video is copy protected and cannot be downloaded or used in any capacity without my permission.

[@survivornate2868]

Just wanted to share my appreciation for these videos. They are so well done. Wish my professor in college cared half as much as you. Have a good one.

[@mathwithprofessorv]

You are so very welcome, and I really appreciate your feedback! Wishing you lots of success in your studies.

[@jaffaralahmad7898]

i honestly love you

[@deliveringIdeas]

Hello Professor. I'm extremely grateful for your content. It has a level of clarity and friendliness that other instructional videos don't have. Thank you for taking the time to help us, I'm very thankful. Have a wonderful day Professor.

[@mathwithprofessorv]

Thank you so much for your kind words, I pour my heart and soul into these videos and am so happy they are helpful to you and students around the world. Wishing you lots of success!!! ☺️☺️☺️

[@0mar._.]

If you were my professor i would never skip a class.

[@mathwithprofessorv]

😊😊😊 thank you!

[@huan320]

This week I have seen the video from11.1 to 11.4, my goal is finish 11.1-11.10 during these two week. Hope I can do it on time. And thank for your clear explanation!! You always have the best teaching!

[@mathwithprofessorv]

Yay great job!!! I have faith that you can get it done if you want to. 👍🏻Thank you for your kind words and all your support, I really appreciate it. ☺️💕

[@gisselle3367]

hi, why is it that at 32:45 (n+1)^3 divided by n^3 equals to (1+1/n)^3 ?i thought it would be (1/n^3 + 1/n^2)^3 im just struggling a little bit to understand that part

[@Nieleavalerie]

I have a question, can I also use the comparison test for example 7?

[@Ghost_of_Morisset]

Thank you

[@mathwithprofessorv]

You're welcome ☺️

[@nate5158]

In the last example, how does (n+1)^3 divided by n^3 equal (1+1/n)^3? I do not understand

[@ahmadnadzmi8271]

For exercise 6 25:38. I dont get it why can we do comparison test

[@macyy3338]

love your videos. keep it up 👍 ⬆ 🆙 - from ari

[@mathwithprofessorv]

Thank you so much!!!! I appreciate your comment Ari ☺️☺️☺️💕

[@aryamanbahuguna2380]

Just one question, can we completely ignore the regular comparison test and always do limit comparison test?

[@mathwithprofessorv]

😂😂 My students always ask the same thing! For the most part as long as you can compute the limit and the result doesn’t yield an inconclusive test (meaning you get 0 or infinity as your limit) then you should be ok with just Limit Comparison. 👍🏻 Unless your professor specifically asks you to use Direct Comparison in the directions…I get it though, it feels “safer” since you don’t have to worry about showing the correct inequality etc.

[@abulfatfarajov3132]

25:57 not smaller, greater i guess

[@mathwithprofessorv]

Yes I meant to say denominator is larger making the whole expression smaller! 😊

[@macyy3338]

15th comment