I see generally people use I for addressing themselves, but some people also use me in the same sense.
Which is better to use, I or me?
Let I recommend you for this...
Let me recommend you for this...
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Whether you use I or me depends largely on whether you use it as a subject or an object in your sentence. (It's the same for other pronouns.)
In your sentence, you need an object of the verb let, so you need me:
Let me recommend you for this ...
Also keep in mind that in this pattern, Let someone do something, you use the plain form of the verb; you used recommend (not recommends) correctly, so maybe you don't have this problem. (Congrats!) -- (Another point that may be worth mentioning is the for this ... part, which is a bit of a concern, but since you didn't give us a complete sentence, I can't tell whether you use it correctly or not.)
You can read more about personal pronouns in Wikipedia: English personal pronouns.
I and me, both are used to refer to oneself. If a person talks about himself, he uses I or me depending on the structure of the sentence that he is forming. So, what's the difference?I is a subject pronoun. This means that if you are talking about yourself and you are the subject(the one performing the action referred to) in your sentence, you use I. Example:
I am eating breakfast. (The action is eating breakfast and when you're stating I am eating breakfast, you are the performer of the action. )
Me is an object pronoun. It refers to the person that the action of a verb is being done to, or to whom a preposition refers. Example:
He told me to fetch a glass of water. (The pronoun is to and it's directed towards me which is the object in the sentence.)
The confusion occurs in cases like these-
John and I went to the market.
If you're confused about the right word, split the sentence into two. John went to the market. I went to the market. Combining the two, we get John and I went to the market and NOT John and me went to the market.. The same applies for sentences like This is for you and me.
In the case that you've provided, it's best to use me.
Let me recommend this...
The reason is simple. The implication in this sentence is the same as
You let me recommend this...
Since someone is letting you do something(the action of letting is directed to the object i.e you), you must use the pronoun me.
Hope that helps!