願望・感情N3
〜てみせる
to show by doing... / prove that one can...
Structure
V-て形 + みせる
Explanation
Two uses: ① showing something by doing it, "to show..."; ② expressing determination, "I'll definitely...". Attaches to the te-form + みせる.
Examples
先生は正しい書き方を教えてみせた。
The teacher showed us the correct way to write.
この試合は必ず勝ってみせる。
I'll definitely win this match, you'll see.
Note
てみせる means demonstrating or showing determination; different from てみる (to try).