Recall that as membrane permeability to a given ion increases, the membrane voltage will begin

to asymptotically approach the Nernst potential for that particular ion. The relative permeabilities of $Na,K,$ and

$Cl$ under resting conditions in a typical neuron are $Na$:$K$:$Cl=0\mathrm{.}05$:$1$:$0\mathrm{.}45.$ Given the same intracellular and

extracellular ion concentrations provided in problem #$4,$ estimate the range of integer values for relative

potassium permeability $(P_{K_{+}})$required to approach the $E_{K_{+}}$asymptote. Assume that $P_{N{a}^{+}}$and $P_{Cl}$ are

unchanged. This will require a simple iterative calculation. Use whichever tool you prefer and provide a clear

explanation of how you arrived at the estimate.