# Euler's constant

Line breaks: Euler's con|stant

## Definition of Euler's constant in English:

### noun

Mathematics
A constant used in numerical analysis, approximately equal to 0.577216. It represents the limit of the series 1 + 1/2 + 1/3 + 1/4 ... 1/nln n as n tends to infinity. It is not known whether this is a rational number or not.
Example sentences
• He investigated the series and calculated Euler's constant to 15 decimal places.
• In Adnotationes ad calculum integrale Euleri Mascheroni calculated Euler's constant to 32 decimal places.
• For example he computed Euler's constant to 1271 decimal places and published the result in 1962.

### Origin

mid 19th century: named after L. Euler (see Euler, Leonhard).

## Definition of Euler's constant in:

Comments that don't adhere to our Community Guidelines may be moderated or removed.

= trending

## More on Euler's constant

### More words in this category

calculus catastrophic common denominator cosecant covariant
Word of the day
Pronunciation: ˈɛmjʊləs