If xn := ..;n, show that (xn) satisfies lim IXn+1- xn I= 0, but that it is not a Cauchy sequence.

Exam2StudySmartQuestions 4/9/1611:54PM BiologicalFoundations o Whenaneuronsendsasignal,itissendinganelectricalimpulsedownitsbody.Itstart inthedendrites,wheretheactionpotentialfromanotherneuronisreceived.The neurotransmittersfromthepresynapticneuroncausesligandgatedsodiumchannelto open.Thisinfluxofsodiumthrowsoffthethreshold,whichis-70mV.Ifthemembrane potentialreachesthreshold,moreandmoresodiumchannelswillopenandtheneuron willdepolarize,sendingdowntheactionpotential.Astheactionpotentialtravelsdown theaxon,moresodiumchannelsopen.Aftertheithastraveledthelengthoftheaxon, sodiumchan