Help me please with this one:
Locate the zeros of
and show that they are simple
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Help me please with this one:
Locate the zeros of
and show that they are simple
If it is compulsory to apply Rouche's theorem as title says, then, for allsuch that
:
According to Rouche's theorem, the numberof zeros of
in
including multiplicities is equal to the number of zeros of
in
. That is,
.
Tonio's hint for the restriction ofto
allows to locate those two zeros and prove that both are simple.
Fernando Revilla