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Page 1: DocumentUn

1°)

�� = �������� ;��� ��+� = �

��� + ���� + �

� ����+� = �

��� + ���� + �

� ����+� = �

��� + ���� + �

� ���

⟹ ���� = �������������� =����

���� + �

��� + �� ���

��� + ���� + �

� ������ + �

��� + �� ���

���

⟹ ���� =����

��

��

���

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�������������� = ���;

� =����

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2°) a) ���� = ��� ⟹ �� = ����� = ������� = ������ = �������� = ������ = ⋯ = ���" ⟹ �� = ���"

b)

# = �� − �%� = �����

��

��

���

���

���

���

������ − �&� " "" � "" " �' = &( � �� ( �� � (' − &� " "" � "" " �' = &� � �� � �� � �'

# = &� � �� � �� � �'

#� = &� � �� � �� � �'&� � �� � �� � �' = &� � �� � �� � �' = �#

#� = #�# = &� � �� � �� � �'&� � �� � �� � �' = &) ) )) ) )) ) )' = )# *�+,--*+./,. ∶ #1 = �1−�#; -*,21 ≥ �; *�4 ∶ #1�� = #1# = ��1��# # = �1��#� = �1���# = �1#; 5*�6 ∶ #1 = �1��# ; 1 ≥ �;

Page 2: DocumentUn

3°)

*�4:# = �� − �%� ⟹ � = �� # + �%�

⟹ �� = 8�� # + �%�9� = ��� :;�< 8�� #9<�<="

%���<

⟹ �� = ��� :;�< 8��9<�

<="#< = ��� :;�< 8��9

<�<="

�<��# = ��� :;�< �� #�<="

⟹ �� = � ��� × ��:;�<�

<="� # = ��� × �� × �� × # �642:;�<

�<="

= ���

⟹ �� = �� #

4°)

�� = ���" ⟹ �������� = ��&� � �� � �� � �'��"�"�"�

⟹��� �� = �� ��" + �" + �" �� = �� ��" + �" + �" �� = �� ��" + �" + �"