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Evaluate each limit.

  1. To find the limit as the function approaches , look at the end behavior of the function.

    Find the end behavior by looking at only the highest-power terms in the denominator and numerator.

    Because the function's end behavior follows the trend of an graph, we know that the limit as the function approaches is also .

  1. This is ALMOST the same problem as part (a) but, evaluate the limit as instead of .
    Note: sometimes there is are different end-behavior limits in each direction.

  1. Refer to part (a). Remember to include as part of the highest power for the numerator!

  1. See part (a).

    Note: this means that there is a horizontal asymptote of