65. In a branching process havingI mage andI mage, prove that is the smallest positive number satisfying

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65. In a branching process havingI mage andI mage, prove that is the smallest positive number satisfying Eq. (4.20).

Hint: Let π be any solution ofI mage. Show by mathematical induction thatI mage for all n, and let . In using the induction argue that Image

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