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Function limits:
Exercise approximation method

Function limits: Exercise approximation method-example-1
User Dtsn
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1 Answer

3 votes

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Answer:

A. 2

B. 6

Explanation:

The attachment shows the table of values for exercises A and B.

A spreadsheet is also a useful tool for repeated function evaluation. Most spreadsheets carry about 16 significant digits, so can give good approximations down to very small differences from the limit value.

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Additional comment

Here, the function simplifies to ...

f(x) = (2x)(x -1)/(x -1) = 2x

The simplified function can be evaluated directly at the limit value of x, with no approximation needed.

Function limits: Exercise approximation method-example-1
User Jammon
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