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Published byBrook Patterson Modified over 4 years ago

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In this section, we will investigate indeterminate forms and an new technique for calculating limits of such expressions.

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A function having the property that as it is true that, has an indeterminate form of type.

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A function having the property that as it is true that has an indeterminate form of type. For example:

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A function having the property that as it is true that, has an indeterminate form of type.

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A function having the property that as it is true that has an indeterminate form of type. For example:

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A function having the property that as it is true that, has an indeterminate form of type.

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A function having the property that as it is true that, has an indeterminate form of type. For example:

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Let f and g be differentiable functions such that has an indeterminate form of type or type. Then: Note the “a” above could be ±∞.

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Evaluate

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Below is shown the graph of y = f(x). Find: (a) (b) (c)

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