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Question
Prove that if an application
defined on an open interval
except in point
is such that:
then
has a limit when
goes towards
equal to
Write the definitions of right-sided and left-sided limits when
goes towards
We obtain two strictly positive real numbers
and
set
Let
be a strictly positive real number.
We have
hence:
We also have
hence :
We set
and we obtain:
is equivalent to
and we can have this reasonning for any strictly positive real number
hence we proved
