10.07.2015 Views

t.-l ,\l"- r"

t.-l ,\l"- r"

t.-l ,\l"- r"

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"t.tFl1l < - ff"t', ha I > 0. Az egrenl6tlens€g szerint I :! liacrl mindenl\/tli > b esetdn. A t = 0 heb'e! vett jobb oldali hatd.r6rt€kre t€rve rit az 1 S 0ellentmoudr6.shoz jutunk; tehdt nem Lanlace-transzform6lhat6.;fu3r. l/(t)l = le3t+21= e2."3t S e2. "3', t"h5"1 K = e2 6s C = 3 r'rilaszt6ssalI f (t)l < K' ect val6baa teljesiil.32. K =7,C:O.33. Legyen /(r) : b$D. Ekkor li,3g.f(r) = /(0) = 0, a L'Eospital szabdlvtalkalmazra pedig = 0 ad6dik. Minthog.v aa / fiiggv€nv a (0'oo)Jj*/(t)intervallumoo folytonos ds a v€gpontokban ldtezik hatd.r6rt6ke, igy / korl4tosis a (0, e)-n. Ezek szerint ldtezik olyan ff 2 0 szd'm, hogy ha t ) 0, akkorl.1t -! 1\l/(t)l

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