The limits for this problem are given as follows:
5. -9/4.
6. 3/14.
7. 3/2.
<h3>What is a limit?</h3>
A limit is given by the value of function f(x) as x tends to a value.
<h3>What is the limit for item 5?</h3>
x goes to infinity, hence we just consider the terms of highest degree in the numerator and the denominator, and apply the limit of the constant(equals the constant), as follows:
<h3>What is the limit for item 6?</h3>
Before applying the same property we did for the above item, we have to rationalize the expression, applying the subtraction of perfect squares, as follows:
Hence the limit is given as follows:
At the square root in the denominator, as the x goes to infinity, we consider only the highest exponent, hence:
<h3>What is the limit to item 7?</h3>
We also rationalize applying the subtraction of perfect squares, as follows:
Following the same logic as the previous item, considering only the squared term as the root in the denominator.
More can be learned about limits at brainly.com/question/26270080
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