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Answer :
Final answer:
The limit of the function s(x) = 2/x + 3 as x approaches -3 does not exist and is represented as 'DNE' because the function tends towards Infinity or negative Infinity as the denominator becomes zero.
Explanation:
The question relates to the concept of limits in calculus. We are asked to find the limit of a function s(x) = 2/x + 3 as x approaches -3.
As per the definition, a limit is the value that a function or sequence 'approaches' as the input or index approaches some value. However, in this case when x gets closer to -3, the value of the function tends towards Infinity or negative Infinity due to being undefined at -3. This is because the denominator becomes zero. Hence, the limit does not exist and is denoted as 'DNE'.
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