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Calculus

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i was just wondering if there was a difference between infinty and indetrminant. my freind said there the same thing. But i thought that for example if you are given a limit for a function, by direct subsitution you find that answer is infity. the conclusion would be that the limit does not exist right? However, if you were given another limit problem and you direct subsitute and find a indetrminent form (0/0)then you choose other techniques ( eg. rationalizing)to solve it. so how could they be the same thing if they are approched differnt ways?

  • Calculus - ,

    indeterminate means that no particular value can be assigned. For example, if

    x = 0/0
    that means that
    0*x = 0
    which is true for any value you care to assign to x.

    If a limit is infinite, it means that it is greater than any possible value. It is thus different from indeterminate.

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