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| Summary |
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| Algebra of limits |
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| Step I: Factor of f(x) and g(x). |
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Step II: Common factors of numerator and denominator are  |
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| Step III: Substitute x = a and obtain the limits. |
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| Standard Results |
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| Limits at infinity and infinite limits: |
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| Infinite limit of a function: |
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 If f(x) can be made as small as possible
(negatively infinite) as x ® a we say
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 A real function f(x) is said to be continuous at x = a, if |
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| (i) f(a) is defined |
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If f1 and f2 are continuous functions, then |
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Every polynomial is continuous. |
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Every rational function is continuous. |
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