00:01
According to given equation we can write our sequence as n is equal to 7 to infinity and that is we need to write to the power n -7 upon 8 and x to the power n and x to the power n and whole upon n.
00:22
Now after simplify this we will get that is we have to write here summation.
00:28
Let's say an is equal to summation n is equal to 7 to infinity and that is say an is minus 1 to the power n -7 upon 8 whole upon n.
00:47
So from here we can write that is summation n is equal to 7 to infinity that is an x to the power n.
01:00
Now from here if rb, r is let's say rb radius of convergence.
01:08
So from here we can write 1 upon r is equal to limit n tends to infinity and it become from there an plus 1 upon an.
01:25
So after putting here value we will get limit n tends to infinity it become from there that is minus 1 to the power n -6 upon 8 and whole upon n plus 1 multiply with n upon minus 1 to the power n -7 upon 8.
01:57
So after simplify this we will get from here that is limit n tends to infinity it become from there after simplify n upon 1 plus n.
02:12
So from here we will get that is limit n tends to infinity it become from there that is we can write this n plus 1 upon n plus 1 minus 1 upon n plus 1.
02:35
So where n plus 1 cancel by n plus 1.
02:38
So implies that from here we can write limit n tends to infinity it become 1 minus 1 upon n plus 1...