Proof of Bernoulli's Inequality using Mathematical Induction

Proof of Bernoulli's Inequality using Mathematical Induction

[melynx]

I'm so glad this channel exists. Despite my enormous passion for the subject, my maths skills mysteriously vanished during high school and I blame much to the overcomplicated way people teach in my country. This explanation is so easy that even a 6 years old kid could understand it. Thank you so much for allowing me to enjoy maths again! ❤❤❤

[benyoutube]

I have been trying to find out why a>-1 and you are the only one who mentions it so thanks a lot.

[xJBRRR]

Can you tell me why ka^2 being greater than 0 enables us to drop the term?

[dangdangheather]

literally the only video with an unknown im so grateful for you

[نێرگزی]

Thank you very much for this video. It was really useful to me. 👍🏼

[forthrightgambitia]

Nice. From this you can prove a series of inequalities that lead to the famous Gibbs inequality that is important in machine learning (which is why I was here).

[Medodell]

I see you used the theorem to prove it, I really do not get it

[DarkOutsideNow]

Thank you for the video!!... Math: formulas written by people who are lazy, so they short handed everything into hard-to-understand formatting that requires formal education. Sometimes without knowing what level or type of math that's applied, it becomes hard to provide the answer. Suppose x + y = (x+y) is true. prove it. AHH!! Which way?!?! Elementary school style (count those apple, oranges, which are all fruits) or advanced math using proofs that take 10x longer? (Edit for slight grammar issue)

[dragon-]

a is greater than -1 .why used ≥ this sign

[oneaboveall]

well i understand Bernoulli's Inequality but i still hate pure math

[maxpercer]

gets a little murky the logic dealing with the sign of (1+a ) at 3:45, kind of reverse logic.
Nice video, i am hooked to math (and your videos).