Questions & Answers about Jeg vil prøve at bage en kage i weekenden.
Vil can cover both ideas, depending on context. In this sentence it most naturally shows intention: the speaker plans or wants to try baking a cake.
So jeg vil prøve... can feel like:
- I will try...
- I want to try...
Danish often uses vil + infinitive to talk about the future, but it is not a separate future tense in the way English learners sometimes expect.
Because vil is a modal verb. In Danish, modal verbs are followed by the bare infinitive:
- jeg vil prøve
- jeg kan bage
- jeg skal gå
So after vil, you do not use at.