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Home > CALC > Chapter 3 > Lesson 3.3.4 > Problem 3-140


Evaluate each limit. If the limit does not exist, say so but also state if is approaching positive or negative infinity.

  1. Evaluate.

  1. As in all limits in which or , compare only the highest power in the numerator and denominator.

  1. Careful! This one can be deceptive. Just because this is a one-sided limit, does not mean that the limit or . That will only be the case if there is a zero in the denominator that cannot be cancelled out.

  1. This limit is asking you to determine whether the function approaches its vertical asymptote at in a positive or negative direction when looked at from the left.

    Choose a value a little to the left of and evaluate. You only need to determine if the limit is positive or negative.

    negative value

    Limit does not exist, but .