Stetige Funktionen und ihre Eigenschaften

Adalbert Duschek
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Adalbert Duschek: Technischen Hochschule Wien

Chapter § 8 in Vorlesungen über höhere Mathematik, 1956, pp 84-99 from Springer

Abstract: Zusammenfassung Ich wiederhole zunächst die schon in 00A7 7, I gegebene Definition: Eine Funktion /(x) ist stetig an einer Stelle x 0ihres Definitionsbereiches, wenn dort Grenzwert und Funktionswert übereinstimmen, wenn also gilt 1 % MathType!MTEF!2!1!+- % feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbWexLMBbXgBd9gzLbvyNv2CaeHbl7mZLdGeaGqiVu0Je9sqqr % pepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs % 0-yqaqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaai % aabeqaamaabaabauaakeaadaWfqaqaaiGacYgacaGGPbGaaiyBaaWc % baGaamiEaiabgkziUkaadIhadaWgaaadbaGaaGimaaqabaaaleqaaO % GaamOzamaabmaabaGaamiEaaGaayjkaiaawMcaaiabg2da9iaadAga % daqadaqaaiaadIhadaWgaaWcbaGaaGimaaqabaaakiaawIcacaGLPa % aacaGGUaaaaa!5096! $$\mathop {\lim }\limits_{x \to {x_0}} f\left( x \right) = f\left( {{x_0}} \right).$$

Date: 1956
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DOI: 10.1007/978-3-7091-3556-3_9

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