f+g is continuous

[@aishayo3308]

I am currently taking a Real Analysis course at university and your channel is so helpful! Please, keep making more math videos! big thumbs up

[@drpeyam]

Thanks so much! Check out the playlists

[@NotoriousSRG]

“Let’s whip out our epsilons”
🥳🤩😳

[@羅安娜-r1d]

i love your energy!!! thanks so much!!

[@wtt274]

Dr Peyam has given a great lecture in this video .Thank you Sir !😊

[@mikhailmikhailov8781]

Addition and multiplication are continuous, hence f+g and fg are also continuous.

[@drpeyam]

Circular reasoning though

[@hassanalihusseini1717]

Thank you for this video, Dr. Peyam! Very instructive to get this basic knowledge about continuity so clearly explained!

[@maqsudxorazm]

Thanks Doctor

[@porrapan2008]

We can use this result to prove f - g continuous at a?

[@drpeyam]

Yes

[@thedoublehelix5661]

This video is left as an exercise to the reader

[@andreybyl]

«+» is also continuous, like operation )

[@valeriereid2337]

I needed this, thank you. Just wondering if you did the product and quotient laws for continuity.

[@drpeyam]

See playlist

[@valeriereid2337]

@@drpeyam Thank you very much for these excellent videos

[@idolihs7]

how would this work for f-g ?

[@drpeyam]

Similar

[@Channel-zb1fi]

Maybe make make the substitution that g' = -g.
And then proceed with the proof as shown in the video for f+g'.

[@Akihikoo_]

Cool video

[@MS.chem786]

Here f and g are real valued functions ?? If f and g are complex function then , prove will be liked that?? Or another way to prove it???

[@drpeyam]

Same method