Suppose a function is not defined at 0, for example f (x) = 1x , what does this tell us about limx→0 f (x)
Question
Solution 1
The function f(x) = 1/x is not defined at x = 0 because division by zero is undefined in mathematics.
When we talk about the limit of f(x) as x approaches 0, we are talking about the value that f(x) gets arbitrarily close to as x gets arbitrarily close to 0.
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