Beispiele.
1. Sei f( x )={ 1, für x≠0, −1, für x=0. MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaabm aabaGaamiEaaGaayjkaiaawMcaaiabg2da9maaceaabaqbaeqabiqa aaqaaiaaigdacaqGSaGaaeiiaiaabAgacaqG8dGaaeOCaiaabccaca WG4bGaeyiyIKRaaGimaiaacYcaaeaacqGHsislcaaIXaGaaeilaiaa bccacaqGMbGaaei=aiaabkhacaqGGaGaamiEaiabg2da9iaaicdaca GGUaaaaaGaay5Eaaaaaa@5039@
Dann besitzt f in a = 0 eine hebbare Unstetigkeit. (vgl. Abb. 6.18 a)
