Let
A n be the difference between the area of the unit circle and the area of the inscribed polygon PQ1Q 2... Qn�
1QRR 1R 2... Rn� 1. It is given that
An
1 �2� 2�
� � � �sin �� n� f ( n)
2 � 3 3 �
( d ) ( i ) Find f( n ).
, where f( n ) is a function of n .
( ii ) Interpret the meaning of f( n ) geometrically .
( e ) Find lim f( n) . n��
It is given that v � An
� u .
[ 6 ]
[ 2 ]
( f ) ( i ) Write down u .
( ii ) Find the maximum possible value of v . [ 4 ]
© SE Production Limited 4 All Rights Reserved 2021