extremity
ex.trem.i.ty \ik-'strem-*t-e-\ n 1a: the farthest or most remote part, section, or point 1b: a limb of the body; esp : a human hand or foot 2a: extreme danger or critical need 2b: a moment marked by imminent destruction or death 3: the utmost degree (as of emotion or pain) 4: a drastic or desperate act or measure