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Question Number 199309 by universe last updated on 01/Nov/23
an+1=an+an2+1,a0=0findan=??
Answered by TheHoneyCat last updated on 01/Nov/23
an2>0⇒an2+1>1⇒an2+1>1⇒an+1>1Thus(an)isstrictlyincreasinngitisthereforeeitherconvergenttol∈Randl=l+l2+1orl=+∞theequtiononlgivesl2=−1wichisnotpossibleinRthus:an→n→∞∞◼
Commented by TheHoneyCat last updated on 01/Nov/23
woops��. I misread the question. sorry...
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