Proving lemma about regular polygons?
Homework Statement
Can a n-1 sided regular polygon be inscribed in n sided regular polygon for
\forall n \in \mathbb {N} \gt 3
Homework Equations
N/A
The area of n-1 sided regular polygon may be the largest of any n-1 polygon which is to be...
how that the rank of the adjugate matrix (r(adj(A))) is :
n if r(A)=n
1 if r(A)=n-1
0 if r(A)<n-1
How to deal with the proof? Can someone give more insight? What proof should I use here?
I have an idea only for the third statement.
Homework Statement
http://prikachi.com/images/201/4687201t.gif
Homework Equations
Given in class on material connected with undefined integral
The Attempt at a Solution
Hard for me to grasp that one...
P.S Thanks in advance
Homework Statement
http://prikachi.com/images/26/4273026B.gif
Homework Equations
The Attempt at a Solution
I'm having problems in solving the limit which is shown on the gif file .
As you see I use L'Hopital's rule 2 times and I get to a point when I should divide -sinx with sinx...