This small tree has single or multiple trunks with greyish or white bark and slender branches that form a compact rounded crown. It has blue-green broad lanced-shaped leaves and the small whitish flowers appear in clusters during early summer.  

Hardiness zones 7 to 11 

Eucalyptus risdonii is naturally found in  Australia growing in Tasmania in open forests and commonly as pure stands on the coast or in the adjoining mountains. 

It prefers a well drained moderately fertile soil with mudstone as the parent rock and an open sunny position and is frost, snow and drought tolerant.
 
Silver Peppermint is grown for its bluish foliage and its cold tolerance. It is planted in small gardens or woodland settings and along roadsides or on embankments. It is suitable for coastal or mountainous regions establishing in 2 to 3 years and may be used as a small shade tree. ID 2176

Note:
Eucalyptus tenuiramis is a very simular tree, differing only in being larger and the juvenile leaves are not persistent. It is found in south-east Tasmania. 

Eucalyptus (ew-ka-LIP-tus) risdonii (riz-DOH-nee-eye)

Myrtaceae (mir-TAY-see-ee)
Myrtle, Eucalyptus, Clove and Guava Family