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 a function, we substitute the value towards which x is approaching into the function
To find the limit of a function, we substitute the value towards which x is approaching into the function. In this case, we need to find the limit as x approaches 1 of the function f(x) = 1/(x – 1).
Substituting x = 1 into the function gives us:
f(1) = 1/(1 – 1) = 1/0.
However, division by zero is undefined. Therefore, the function f(x) does not have a limit as x approaches 1.
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