Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)lim t → 1 1 − t1 − t
Question
Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)lim t → 1 1 − t1 − t
Solution
The given limit is:
lim (t → 1) (1 - t) / (1 - t)
This is a simple limit to evaluate. The function is continuous at t = 1, so we can simply substitute t = 1 into the function to find the limit.
(1 - 1) / (1 - 1) = 0 / 0
This form is an indeterminate form, so the limit does not exist. Therefore, the answer is DNE.
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