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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

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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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