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2.3, #4. Given Problem.
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2.3, #4. Given Problem. |
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Direct substitution works just fine. After simplifying the results, we have the limit. |
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2.3, #20. Given Problem. |
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Direct substitution does not work. We factor the second denominator, and work toward getting a common denominator. |
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Then we combine the two fractions. |
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Now substitution works. |
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2.3, #34. Given Problem. |
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Part (a)(i).
The right hand limit acts as if there were no absolute value in the denominator. |
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Part (a)(ii).
The left had limit gives us the opposite sign in the denominator as the last part. |
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Part (b).
No limit can exist, because the left-hand limit and the right-hand limits do not agree. |
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Part (c).
The graph confirms our findings above. The left and right-hand limits do not agree. Therefore there is no limit of the function as x approaches 1. |
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