![]() So we should take our value of □ equal to two. We want to make a conclusion about the limit as □ approaches two of □ of □. So our concluding statement in the squeeze theorem tells us about the limit as □ approaches □ of □ of □. And we can see this is the same as the function □ of □ in the squeeze theorem. ![]() We can see our function □ of □ has an upper bound and a lower bound. So we need to work out how we’re going to apply the squeeze theorem to this question. Then the squeeze theorem tells us the limit as □ approaches □ of our function □ of □ must also be equal to □. And if we also know the limit as □ approaches □ of □ of □ and the limit as □ approaches □ of ℎ of □ are both equal to some finite constant □. For all values of □ near a constant □ but not necessarily at □ is equal to □. The squeeze theorem tells us if □ of □ is greater than or equal to some function □ of □ and □ of □ is less than or equal to some function ℎ of □. So let’s start by recalling what the squeeze theorem tells us. And it wants us to use the squeeze theorem to determine whether this means the limit as □ approaches two of □ of □ will be equal to zero. The question gives us a statement about some function □ of □. If some function □ of □ is greater than or equal to three □ minus three and □ of □ is less than or equal to two □ squared minus four □ plus three, then the limit as □ approaches two of □ of □ is equal to zero. Using the squeeze theorem, check whether the following statement is true or false.
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