Question

A sequence {xn} is defined by x1 = 8, xn+1 =

1

2

xn + 2. Then show that

i. {xn} is monotonic.

ii. {xn} is bounded.

Is {xn} convergent? If yes, find it’s limit.

​

Answer 1

Step-by-step explanation:

$\huge {\displaystyle \sf \int \limits^{9}_ {4} \footensize \dfrac{\sqrt{x}}{\bigg(30\ -\ x^{\dfrac{3}{2} \bigg)^{2}}} dx}$