
beispielhaft
exemplary
Serving as a model; so good that it can serve as an example for others.
Ihr Engagement für soziale Projekte ist wirklich beispielhaft.
Her commitment to social projects is truly exemplary.
exemplary / by way of example
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exemplary
Serving as a model; so good that it can serve as an example for others.
Ihr Engagement für soziale Projekte ist wirklich beispielhaft.
Her commitment to social projects is truly exemplary.

by way of example
Mentioned as an example; serving for illustration. In this meaning, it is a synonym of 'zum Beispiel' (for example).
Es gibt viele Gründe für die Entscheidung, ich nenne hier nur beispielhaft die Kosten und den Zeitfaktor.
There are many reasons for the decision; I will mention only the costs and the time factor here by way of example.
The word is made up of 'Beispiel' (example) and the suffix '-haft'. The suffix '-haft' means something like 'in the manner of' or 'having the quality of something.'
Sein Einsatz für das Team war beispielhaft.
His dedication to the team was exemplary.
The sentence position reveals the meaning. If 'beispielhaft' comes before a noun ('ein beispielhaftes Projekt' — an exemplary project), it means 'exemplary.' If it is used as an adverb with the verb ('etwas beispielhaft nennen' — to mention something by way of example), it means 'as an example.'
Das ist ein beispielhaftes Projekt für bürgerschaftliches Engagement.
This is an exemplary project for civic engagement.
In the meaning 'vorbildlich' (exemplary), the word is often combined with positive concepts such as 'Engagement' (commitment), 'Verhalten' (behavior), 'Leistung' (performance), or 'Einsatz' (dedication).
Die Zusammenarbeit der Abteilungen war beispielhaft.
The cooperation between the departments was exemplary.
In the meaning 'als Beispiel' (as an example), 'beispielhaft' is used mainly in written language, presentations, or formal contexts. It often sounds more formal than 'zum Beispiel' (for example).
Die Risiken sind vielfältig; beispielhaft seien hier die finanziellen und technischen Probleme genannt.
The risks are varied; the financial and technical problems may be mentioned here by way of example.
for example
Beispielsweise introduces a possible concrete instance. Beispielhaft, by contrast, describes a selected case that serves to illustrate something. Thus, beispielsweise is used when naming an example, while beispielhaft is used when emphasizing the case’s function as an illustrative example.

Der Bericht zeigt am Fall Berlin beispielhaft, wie neue Radwege den Verkehr verändern.
Using Berlin as an example, the report shows how new bike lanes change traffic.
Der Bericht nennt beispielsweise Berlin als Stadt mit vielen neuen Radwegen.
For example, the report names Berlin as a city with many new bike lanes.