Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→0 9t − 9t2 + t
Question
Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→0 9t − 9t2 + t
Solution
To evaluate the limit of the function as t approaches 0, we can simply substitute 0 into the function because it is a polynomial function and thus continuous everywhere.
The function is: f(t) = 9t - 9t^2 + t
Substituting t = 0, we get:
f(0) = 90 - 90^2 + 0 = 0
So, the limit of the function as t approaches 0 is 0.
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