Questions & Answers about Jeg er forelsket.
Because er is the present tense of at være — to be.
So the structure is:
- jeg = I
- er = am
- forelsket = in love / smitten
This is the same basic pattern as English I am happy, I am tired, etc. Danish often uses to be + adjective/participle in this kind of sentence.
In this sentence, forelsket functions like an adjective.
It originally comes from the verb at forelske sig — to fall in love, but in Jeg er forelsket, it behaves like a description of a state:
- Jeg er forelsket = I am in love
So for a learner, the easiest way to think of it is: forelsket is describing how the speaker is feeling.