Prove the limit of sin(x) / x = 1 as x approaches 0 (ILIEKMATHPHYSICS)

[@TranquilSeaOfMath]

Very thorough. Nicely done. Good details.

[@dinnybam2057]

You're a beast bro. I liek the way you prove shit.

[@elliasaad4679]

Good work
But why did not use sandwitch theoreme after you had the double inequality

[@rudeusdoto]

⏳🧙‍♀️

[@filipeoliveira7001]

By using the sandwich theorem you’re using the proof he wrote by assuming it’s true

[@rudeusdoto]

@ no you’re not, when you have cosx

[@filipeoliveira7001]

@@rudeusdoto but then the limit for cos(x) still has to be proven with epsilon-delta

[@monzurrahman8307]

​@filipeoliveira7001no it doesn't as he already proved cos is continuous

[@spitsmuis4772]

What good textbooks use this approach (like properties of goniometric functions from definitions like these)?

[@emanuellandeholm5657]

Happy holidays!

[@orenfivel6247]

Did you prove that lim{(e^z-1)/z=1 as z->0} for complex z?

[@orenfivel6247]

Nice proof . Can this epsilon delta proof be generalized to complex number z approaches 0+0i?

[@justkarl2922]

Yes, C is isomorphic to R2 which really means they are the same vectorapace, like they are really the same space, only C has a multiplication which R2 doesn't have. The only problem that you have is that you cannot perform easy changes with inequalities, as an example: Let z be complex and ε reel and >0 then |z|

[@doofus8]

bro you spelled "like" wrong on your channel 😉

[@田中恵子1]

うおw