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6-13.

Evaluate each limit. Homework Help ✎

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

    Determine 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 a graph, we know that the limit as the function approaches ∞ does not exist.

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

  1. This limit has an indeterminate form. Use l'Hôpital's Rule.

    Now try evaluating the limit.

  1. This limit also has an indeterminate form. Use l'Hôpital's Rule.