Infinite Limits

    A function that increases without bound as approaches is said to tend to infinity at and is denoted by



Similarly, a function that decreases without bound as approaches is said to tend to infinity at and is denoted by

Example (Infinite Limits) Determine

    Solution. Since increases without bound as and   increases without bound as we say that

Example (Infinite Limits) Determine

    Solution. Since decreases without bound as and   increases without bound as we say that does not exist.

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