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Math Help - Limits problem

  1. #1
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    Limits problem

    For (e) the limit as x approaches 1 for f(x) is undefined, for g(x) it's -1 so how would I add them together?
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  2. #2
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    Re: Limits problem

    You don't. If f(x) has no limit at x= a and g(x) has limit -1 (or any real number) at x= a, then f+ g has no limit at x= a.
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  3. #3
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    Re: Limits problem

    If you add something that is undefined to something that is defined, the result is undefined.

    BTW, I see someone wrote "0" next to (b) and "one" next to (d), but those answers are incorrect.
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  4. #4
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    Re: Limits problem

    Oh ok.... Lol yah I wrote them, but I changed them already
    I put undefined for (b) and -1 for (d)... That's correct right?
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  5. #5
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    Re: Limits problem

    For (f) I know that the limit as x approaches 0 is 2 for f(x), and the limit as x approaches 0 for g(x) is 0
    So is this how you put them together????

    2(2) + 3(0)
    4 + 0 = 4
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  6. #6
    Super Member ebaines's Avatar
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    Re: Limits problem

    Quote Originally Posted by asilvester635 View Post
    For (f) I know that the limit as x approaches 0 is 2 for f(x), and the limit as x approaches 0 for g(x) is 0
    So is this how you put them together????

    2(2) + 3(0)
    4 + 0 = 4
    Yes.
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  7. #7
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    Re: Limits problem

    And this holds true for (g) also??? Since its undefined when x approaches 1 for f(x) then f(x)g(x) has no limit?????
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  8. #8
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    Re: Limits problem

    Yes! "Undefined" means there is no number and you can't do any arithmetic with it!
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