The problem asks us to find the limit of the car's position as time approaches 2 seconds.
In other words, we need to determine what value the position of the car approaches as the time gets arbitrarily close to 2 seconds.
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STEP 1:
STEP 1:
Start with the given function:
STEP 2:
STEP 2:
In order to find the limit, we have to substitute the value 2 into the function:
STEP 3:
STEP 3:
Substitute 2 for t and we will have:
STEP 4:
STEP 4:
Calculate the expression inside the parentheses:
Therefore, the limit of the car position as time approaches 2 seconds is 12 unit.
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