(a) Show that the two square roots of i arc Then show thal

Chapter 0, Problem 3.24

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(a) Show that the two square roots of i arc Then show thal i :r /I e and i5.7:'t e log(ei.1'/I) = (211 + ~) ;ri (II = 0. I. 2 . ... ) and log(e'-':r/I) = [<211 + I)+~] ;ri Conclude that (11 = 0. I. 2 .... ). (b) Show that I -1:' ( I) . og(t '-) = II + 4 ,7 / (II= 0. 1. 2 ... . ). I ,, I log(i :-) = - logi. ") a-; stated in Example 5. Sec. 32. by finding the values on the right-hand side of this equation and then comparing them with the final result in part (a).

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