8.7 More Indeterminate Forms
| 8.7 |
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| 1. The Indeterminate Quotient Forms |
In Section 1.1.3 we discussed the indeterminate quotient form 0/0, and in Section 1.1.7 we handled the indeterminate
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| 2. The Indeterminate Sum And Difference Forms |
which is just the difference form written in a different order. We gather them together here:
Example 2.1
Evaluate the following limit if it exists:
Solution
EOS
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| 3. The Indeterminate Product Forms |
Consider these three trivial limits:
| 1.1.3 and 1.1.7, |
are:
Example 3.1
Find the following limit if it exists:
Solution
EOS
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| 4. The Indeterminate Exponential Forms |
Example 4.1
Evaluate the following limit if it exists.
Solution
= 1,
EOS
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Solution
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Solution
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Solution
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Solution
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5. Prove this limit:
Note
Here x is fixed and h is variable.
Solution
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