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Math Help - Approaching infinity intervals

  1. #1
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    Approaching infinity intervals

    Hey guys I'm having a little trouble with having to sub in something for infinity.

    For example like say its 1/square of (x-2) if you were to sub in infinity for that what would it be? Is the answer 0?

    Another example is lets say square root of (2+t) does this mean the answer is infinity?

    I just want all the kind of scenarios of equations dealing with infinity and what the answer to them would be, can anyone help me with that?
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  2. #2
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    Re: Approaching infinity intervals

    In regular calculus, infinity is not a number, so one cannot substitute it for variables or make arithmetic operations with it. Variables range over numbers.
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  3. #3
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    Re: Approaching infinity intervals

    so what are the other scenarios when dealing with infinity, cause like I know that 1/infinity is 0 and (t+2)=infinity is there any other kind of scenarios that i should be aware of?
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  4. #4
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    Re: Approaching infinity intervals

    We say that the limit of 1/x is 0 as x tends to infinity. Formally, this means \forall\varepsilon>0\,\exists C>0\,\forall x>C\,1/x<\varepsilon. All variables in that statement range over regular numbers, and all arithmetic operations and comparisons involve regular numbers.
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  5. #5
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    Re: Approaching infinity intervals

    alright thanks
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