keen/eager/dying

eager seems the most neutral to my ear.
dying seems slangy, but it's more extreme than eager.
keen seems old-fashioned for AmE. It may be used elsewhere, however.

CJ

Thank you very much, CJ.

What do you mean by 'neutral' here?

Do they all have the meaning of impatience to wait for what they want?

AnonymousWhat do you mean by 'neutral' here?

The one you'll hear most of the time. The most "standard" word, whatever that means! The word that attracts the least attention for being unusual in any way.

AnonymousDo they all have the meaning of impatience to wait for what they want?

Yes, they do.
CJ

Hi CJ,

Thank you very much for your explanation.
What is the difference between 'anxious' , 'eager' and 'dying', etc.?

Many grammarians think that anxious should not be used to mean eager, but in American English anxious is often used to mean eager. I don't know if it's used that way elsewhere.
CJ

Hi CJ,

In American English, can 'anxious' and 'eager' mean the same thing sometimes and no difference at all here?

Thanks a lot.

Hi CJ,

I was eager to see you again.
I longed to see you again.

Could you please tell me their different meanings here?

Many thanks.

Hi, could someone please answer my above questions?

Thanks a lot!

//I was eager to see you again.
I longed to see you again.//

Longing is used when you have an unfulfilled desire for a very long time.
Ex:I've been longing to see this movie for a very long time.
Eager is used when you are impatient in fulfilling a particular need.
Ex: I am so eager that i couldnt wait to watch this movie.

Thank you very much for your explanation, quantummorphed.

what is the difference between eager and anxious?
when would you use 'anxious' rather than eager?

Thanks.