Prove the Limit of conjugate(z)/z as z approaches zero Does Not Exist Complex Analysis

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Prove the Limit of conjugate(z)/z as z approaches zero Does Not Exist Complex Analysis

[@stereographicpencilsharpener]

Thank you, I thought I was going crazy since I just proved that f(z)=z + zbar is continuous everywhere in the complex plan, but I couldn't get the limit for its derivative to work out, this reminded me that just because a function is continuous everywhere, that doesn't necessarily mean it is differentiable.

[@jacklinesalome3753]

You've made complex analysis easier for me

[@dr.rahulgupta7573]

Simple and nice presentation. Thanks .DrRahul Rohtak Haryana India

[@adityarajbasistha377]

Thanks Rhaegar Targaryen😊

[@dipmalyagantait4716]

The actual proof !! Thanks man

[@TheMathSorcerer]

np!!

[@dipmalyagantait4716]

@@TheMathSorcerer np !!???

[@TheMathSorcerer]

no problem:)

[@TheMathSorcerer]

hehe

[@dipmalyagantait4716]

🤣🤣🤣

[@karimdad7259]

God bless You Most respected Sir, you are like Newton thinker

[@TheMathSorcerer]

Thank you!

[@leebercohen3432]

The videos are extremely nice. To be helpful if the viewer is new to complex algebra, the video for z^5 +32 =0 assumes that the viewer knows Euler's formula can be used a an equivalent to cis, there are 5 roots since z is raised to the fifth power, and that you are familiar with DeMoivre's formula. The example is very nice assuming you are familiar with these ideas.

[@TheMathSorcerer]

👍👍

[@abrarw99]

Can't thank you enough!

[@TheMathSorcerer]

You are welcome!

[@lisaleen7776]

Thank you so much Sir... May God bless you 😊

[@TheMathSorcerer]

❤️

[@BlahBlahBlah13623]

My lecturer immediately jumps to e^2i(theta) and explains that it depends on theta. But I find this way much easier to understand. Thank you.

[@TheMathSorcerer]

glad it helped!!!!!!!

[@1willFALL]

Quick and easy proof.

[@TheMathSorcerer]

indeed:)

[@thedillestpickle]

But what about about z/z? I just had an exam and there was a question with lim z->0, z/z. I'm quite puzzled that the correct answer is supposed to be DNE but by L'Hopital's rule I should expect that the limit is 1. My textbook also has the limit as DNE.

[@kevincardenas6629]

Did you find the answer? haha I would also think that the limit is 1 D:

[@ixy6864]

Thank you for helping me with my homework

[@TheMathSorcerer]

You are welcome!

[@user-ex8qj8ti5q]

مبدع دكتور 💗

[@geniecivil7592]

Thank you ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

[@motivationtwopointzero7605]

Thanks a lot sir.

[@TheMathSorcerer]

You are welcome!

[@Kanchan-qt4tt]

Well explained... Thanku sir.

[@srujaniam9762]

Thanks a lot sir

[@TheMathSorcerer]

welcome!

[@SatyamSharma-is5rh]

Thanx man ..... nicely explained...have a good day 😁😁

[@TheMathSorcerer]

❤️

[@mervenajeeb7555]

What about z/2z*? Does the limit exist? Please answer me

[@antonellapuricelli8357]

Awesome explanation!

[@TheMathSorcerer]

Thx😎

[@warsitiaja783]

Character In the video It's great, I like it a lot $$

[@Sebentheyargimachine]

Conjugate of z and 1/z are both the same. So like can we prove the same thing using this rule?

[@sk4549]

What is DNE?

[@keerthikumar6337]

Wow that easy tq sir🙂

[@TheMathSorcerer]

np

[@istiarsantikinasih19]

I wonder what is the result of the limit of square z conjugate / square z ....

[@pinklady7184]

I guess DNE means "does not exist."

[@TheMathSorcerer]

Yup!

[@ZevasV]

Many thanks from Argentina!

[@TheMathSorcerer]

np!

[@kannadasan2966]

what about z/conjugate(z). Is the question correct?

[@afifudinlisgianto1640]

How about lim [z to 0] Re(z²)i/|z| = ? Is it dne or 0?

[@rahilsanghavi9347]

If I take the complex number in the Euler's form I think the limit will approach infinity. Is it a correct approach?

[@joseavalosrivera6939]

Gracias!

[@belkasemmorghad2218]

lim┬(z→0)⁡z ̅ =prove not exist