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If you are talking about a function in a variable (lets say f(x)=1/x) then it probably means that as x gets bigger and bigger, the function f(x) starts to settle around a certain number, ie: f(x) is the same for two really big numbers that are different. With f(x)=1/x we have f(1000000)=1/1000000=0.000001 and f(2000000)=1/2000000=0.0000005 Which are both VERY, VERY close to 0. SO in this example the expression (f(x)=1/x) is approaching a given value of 0.

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Q: What does the expression approaching a given value mean in mathematics?
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