Let f be a function that is defined for all real numbers x. of the following which is the best interpretation of the statement lim f(x) =5 ?

As x approaches 3, the value of f(x) approaches 5. Option C is correct.
The definition of limit of a function tells us that the limit of a function equals a number as the input value approaches or move close to a value.
For the given limit of a function
[tex]\lim_{x\to3}f(x)=5[/tex]Shows that the limit of the function is 5 as the input value of "x" is closer or approaches 3.
Hence the best interpretation of the statement is that as x approaches 3, the value of f(x) approaches 5