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# KCC's quizzes AQQ255 about a limit at infinite

And here is a new quiz coming!

1. Info: the frequent winners should have received some award and certificate. Please warn me if you think you have been forgotten!

2. Quote of the week: "The elevator to success is out of order. You'll have to use the stairs... one step at a time." - Joe Girard.

3. New quiz of the week: AQQ255 about a limit to infinite

Good luck!

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[edited by: emassa at 3:52 PM (GMT -4) on 21 Mar 2024]
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• As x increases toward infinity, the 1/x term approaches zero. The term in parenthesis approaches 1, e.g. (1+1/x) -> (1)

1 raised to any power is 1, so regardless of the power of x, 1 raised to the x power is 1.

So when x is large the limit of this equation is approximately 1.

• Thanks  for your prompt reply. But I think you have been a little bit too fast this time..It is correct to say 1/x approaches 0 and 1+1/x will tend to 1. BUT, in parallel, the exponent will put the whole value to infinite. The question will be then who goes faster? The exponent or the 1/x ?

• Yes, that did seem a little too simple, I wondered if I was missing something......

Thanks for the comment and suggestions.