The to + infinitive after these verbA part of speech that expresses an action or a state. E.g.: John seldom plays tennis.s expresses purpose as it replaces a purpose clauseA group of related words containing a subject and a verb., while the gerund is the objectA person or thing that is affected by the action of a verb or involved in the result of an action. of the verb and refers to a completeA concept, related to the perfect aspect, expressing that an action has finished. E.g.: He’s finished university.d actionA general term expressing that somebody or something does something..

Don’t forget to meet her at 10 this morning. (= You should meet her at 10…)
I’ll never forget meeting her for the first time. (= I’ll never forget when I met her the first time.)

When you were in London did you remember to visit the British Museum? (= …did you remember that you should visit the British Museum?)
I don’t remember ever visiting this museum. (= I don’t remember if I have ever visited this museum.)

We regret to tell you that your application has been rejected. (= We are sorry that we have to tell you…)
I regret telling her about the party. (= I am sorry that I have told her about the party.)

Wherever you are, go on to read the next chapter. (= Continue with the next chapter.)
Go on reading the article. (= Continue reading the article.)

We stopped to drink a cup of coffee. (= We stopped in order to drink a cup of coffee.)
Why don’t you stop drinking coffee? (= Why don’t you give up drinking coffee?)

I tried to give up smoking but I couldn’t. (= I made an attempt to give up smoking but I failed.)
I tried giving up smoking but it didn’t help. (= I gave up smoking but it didn’t help.)

After these verbs to + infinitive expresses future, while the gerund refers to past, relative to the time of the verbs.

Verbs followed by TO + infinitive or the gerund with a change of meaning
Verbs followed by TO + infinitive or the gerund with a change of meaning TO + infinitive or gerund: CONSIDER, IMAGINE