Twenty pence (British coin) Gardner, and used from 1982 to 2008, is a crowned Tudor rose, with the numeral "20" below the rose, and above the rose. To date, three different obverses have been used. On coins minted before the 2008 redesign, the inscription is . Coins minted after the 2008 redesign also have the year of minting on the obverse. Like all the new decimal coins introduced in 1971, until 1984 the portrait of Queen Elizabeth II by Arnold Machin appeared on the obverse, in which the Queen wears the 'Girls of Great Britain and Ireland' Tiara. Between 1985 and 1997 the portrait
Decimal and ["x"] amounts to which is either 0, if "d" = 0, or gets arbitrarily small, when "n" tends to infinity. According to the definition of a limit, "x" is the limit of ["x"] when "n" tends to infinity. This is written as formula_7 or which is called an infinite decimal expansion of "x". Conversely, for any integer ["x"] and any sequence of digits formula_8 the (infinite) expression is an "infinite decimal expansion" of a real number "x". This expansion is unique if neither all "d" are equal to 9 nor all "d" are equal to 0 for "n" large