Students surely can recognize the number that is the limit of this sequence.
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It is a nicer way of writing idiot
Exceed means to go over a limit. i.e. This year, we exceeded the limit of how much money we were supposed to raise for a charity.
The phrase to 'draw the line' is used when someone wants to end a topic, or set a limit to something, as to acknowledge that a limit has been reached.
According to the Central Limit Theorem, even if a variable has an underlying distribution which is not Normal, the means of random samples from the population will be normally distributed with the population mean as its mean.
The central limit theorem states that the mean of a sufficiently large number of iterates of independent random variables, each with well-defined mean and well-defined variance, will be approximately distributed. This is the definition in the probability theory.