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Math Help - limits

  1. #1
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    limits

    May I in the following cases:

    1. lim x=>a(2x2+3x+1)/x2=2
    2. lim x=>a(-2x+(2x2+3x+1)/x)=3
    a is infinity.

    simply first divide by the denominator and then let x goes to infinity or, am I suppose first to take x out of the numerator then cancel the x(both at the numerator and denominator ) and just then let the x goes to infinity?

    Thanks in advance...
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  2. #2
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    Re: limits

    Quote Originally Posted by jojo7777777 View Post
    simply first divide by the denominator and then let x goes to infinity or, am I suppose first to take x out of the numerator then cancel the x(both at the numerator and denominator ) and just then let the x goes to infinity?
    The two ways you are describing amount pretty much to the same thing. The main point being able to justify finding the limit using the theorems at your disposal, such as the fact if limits of f and g exist, then the limit of (f + g) exists and is the sum of limits.
    Thanks from jojo7777777
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  3. #3
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    Re: limits

    Thank you very much for your help...
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