If ff is the function defined by f(x)=1x−1x−1f(x)=1x−1x−1, then limx→1f(x)limx→1f(x) is equivalent to which of the following?
To find the limit of f(x) as x approaches 1, we can simply substitute 1 into the function and evaluate
To find the limit of f(x) as x approaches 1, we can simply substitute 1 into the function and evaluate.
f(x) = 1/(x – 1)
Substituting x = 1:
f(1) = 1/(1 – 1)
= 1/0
Here, we encounter division by zero, which is undefined. Therefore, the limit of f(x) as x approaches 1 does not exist.
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