Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→−5 t2 − 252t2 + 11t + 5
Question
Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→−5 t2 − 252t2 + 11t + 5
Solution
To evaluate the limit of the function as t approaches -5, we simply substitute -5 into the function:
lim t→−5 t² − 25/2t² + 11t + 5
= (-5)² - 25/2*(-5)² + 11*(-5) + 5 = 25 - 25/2*25 + -55 + 5 = 25 - 625/2 - 55 + 5 = 25 - 312.5 - 55 + 5 = -337.5
So, the limit of the function as t approaches -5 is -337.5.
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