1.
extreme, height, peak, utmost
The highest or most intense degree of something. Used to express that something has reached its absolute limit or pinnacle.
Usage
Almost always appears in the pattern 〜の極み (the height/extreme of ~). Common combinations include 感動の極み (the height of emotion), 失礼の極み (the height of rudeness), and 贅沢の極み (the height of luxury). The expression 恐縮の極み is a very formal, humble way to express deep gratitude or apology.