00:01
So, we have given here series that is n is equal to 1 to infinity and that is x to the power n whole upon 7 to the power n and that is x to the power and that is n to the power 4.
00:15
So, let's simplify all these terms.
00:17
So, let's say from here that is a n is equal to x to the power n and whole upon we have to write that is 7 to the power n into x to the n to the power 4 and let's say that is a n plus 1 is equal to x to the power n plus 1 whole upon 7 to the power n plus 1 and that is n plus 1 to the power 4.
00:46
Now, we need to find the limit and that limit is n tends to infinity and we have to write a n plus 1 whole upon a n that is equal to we have to write limit n tends to infinity and that is we have to write x to the power n plus 1 whole upon 7 to the power n plus 1 and that is multiply with n plus 1 to the whole power 4 and that is 7 to the power n to the power 4 whole upon x to the power n plus 1.
01:22
So, after simplify this we will get limit n tends to infinity and that is x upon 7 that is n to the power 4 whole upon n plus 1 to the power 4.
01:37
So, it become from there that is limit n tends to infinity then it become x by 7 1 upon 1 plus 1 upon n to the power 4 then after putting the limit it become x by 7 and this limit is less than 2.
01:56
So, from here we will get that is value of a x is less than equal to 7.
02:04
So, radius of a converse from here we have 7...