ok guys , i need an answer to this question , use both moment generating function and cummulative function to show that z=(x(bar)-\mu)/(\sigma/\sqrt{n}) if x(bar) is based on a random sample of size n from a normal(\mu,\sigma^2)
The sequence {an} is defined by
a1=1,an+1=\sqrt{1+an/2} ,n=1,2,3,4,...
(a) a^2n-2<0 , (b)a^2a+1-a^2n>0. deduce that{an} converges and find its limits?
please help me get the answer...