Is it a misprint in QFT book of Peskin?

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ndung200790
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In QFT book of Peskin&Schroeder writing(page 252,section 7.5Renormalization of electric Charge):
(e[itex]^{2}[/itex]-e[itex]^{2}_{0}[/itex])/e[itex]^{2}_{0}[/itex]=[itex]\delta[/itex]Z[itex]_{3}[/itex][itex]\approx[/itex]-2[itex]\alpha[/itex]/3[itex]\pi[/itex][itex]\epsilon[/itex].

Where [itex]\epsilon[/itex] is 4-d(d is dim of space-time)

But I think that it is misprint,because bare charge>> observed charge e,then the right formula would be (e[itex]^{2}[/itex]-e[itex]^{2}_{0}[/itex])/e[itex]^{2}[/itex]=...
 
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I have found out the errata and that is not misprint.Then I do not understand the formula,because (e^2-e0^2) is the same order with e0^2 then (e^2-e0^2)/e0^2 can not be divergent as Peskin(~2*anpha/3*pi*epsilon)?