Understanding 3 Digits of Accuracy in Calculus Problems

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SUMMARY

The discussion centers on the interpretation of "3 digits of accuracy" in calculus limit problems. The participant encountered an issue where an answer of 6.78 was marked incorrect, while 6.778 was accepted as correct. This discrepancy arises from the distinction between significant digits and decimal places, with the participant arguing that the phrasing should specify "three decimal places" for clarity. The conclusion emphasizes the importance of precise language in mathematical instructions to avoid confusion.

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  • Understanding of calculus limits
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afr123
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I'm refreshing my knowledge of calculus and ran into this problem while working on limits.

"Find∗ the value of each of the indicated limits to at least 3 digits of accuracy by evaluating f(x) at various values, or state that the limit does not exist (DNE)."

My problem is with "at least 3 digits of accuracy." If I type in an answer like 6.78, it says I'm wrong. If I type in the answer 6.778, it says I'm right. 6.78 has 3 significant digits though, so shouldn't that work?

It doesn't say 3 digits after the decimal point, it says "3 digits of accuracy." Isn't that referring to having 3 significant digits?
 
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IMO they are being sloppy by saying "digits of accuracy." To be clearer they should have phrased it as "three decimal places."
 
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