Questions & Answers about Sin duda, es importante.
Sin duda is a fixed adverbial expression. It works like certainly, undoubtedly, or without a doubt in English.
Grammatically, it is made of:
- sin = without
- duda = doubt
Even though it literally looks like without doubt, you should learn it as a set phrase.
In Spanish, some fixed expressions use a noun without an article. Sin duda is one of them.
Compare:
- sin duda = a standard expression meaning undoubtedly
- sin la duda would sound unnatural here
This is similar to other common patterns with sin, such as:
- sin problema
- sin miedo
- sin razón
So the short answer is: because this is the normal idiomatic expression.
Spanish usually uses ser for general qualities, definitions, or essential characteristics, and estar for states or conditions.
Here, importante is describing something as being important in a general sense, so ser is the natural choice:
- Es importante = It is important
Está importante would normally not be used in this context in standard Spanish.