若数列an满足a1=√6,a(n+1)=√(an+6),如果lim(an)存在,求lim(an)n趋向于无穷,n属于N*,√是根号的意思谢谢

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若数列an满足a1=√6,a(n+1)=√(an+6),如果lim(an)存在,求lim(an)n趋向于无穷,n属于N*,√是根号的意思谢谢

若数列an满足a1=√6,a(n+1)=√(an+6),如果lim(an)存在,求lim(an)n趋向于无穷,n属于N*,√是根号的意思谢谢
若数列an满足a1=√6,a(n+1)=√(an+6),如果lim(an)存在,求lim(an)
n趋向于无穷,n属于N*,√是根号的意思
谢谢

若数列an满足a1=√6,a(n+1)=√(an+6),如果lim(an)存在,求lim(an)n趋向于无穷,n属于N*,√是根号的意思谢谢
如果极限存在的话,对a(n+1)=√(an+6)两边求极限,设lim(an)=a,则:
lim a(n+1)=a=lim √(an+6)=√(a+6)
即:a^2=a+6,a=3 或-2(舍去).

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