2.1-2 practice answers.notebook · 2.12 practice answers.notebook 2 august 24, 2015 6. okay, so we...
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Evaluate the limits analytically (i.e. no calculators), if they exist.1.
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Okay, so we need to factor this. It appears that we have a hole at x = 1. It's hard to remember the formula for the difference of cubes, so I'm going to use synthetic division to find (x3 – 1) / (x – 1).
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Let's multiply by the LCD over itself of x, 2, and 1.
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New trick! Let's rationalize the numerator!
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I want a common denominator for the difference in parentheses.
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Determine whether the following statements are true or false. If it is false, explain why or give an example that shows it is false.
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21. If f(x) = g(x) for all real numbers other than x = 0, and then
Find the vertical asymptote(s) (if any) of these functions.
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Evaluate the limit (if it exists). Then find the limit of f(x) as x approaches .
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