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The value of the limit expression [tex]\lim_{x \to 3} \sqrt{x^2 + 7} + 5[/tex] is 9, and it means that the function approaches 9, as x approaches 3.
The limit expression is given as:
[tex]\lim_{x \to 3} \sqrt{x^2 + 7} + 5[/tex]
This means that we determine the value of the function as x approaches 3.
So, we have:
Limit = √(3^2 + 7) + 5
Evaluate the square
Limit = √(9 + 7) + 5
Evaluate the sum
Limit = √16 + 5
Evaluate the square root
Limit = 4 + 5
Evaluate the sum
Limit = 9
Hence, the value of the limit [tex]\lim_{x \to 3} \sqrt{x^2 + 7} + 5[/tex] is 9
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