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select the correct answer. what is the value of this limit? a. b. c. d. e.

Sagot :

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.

How to evaluate the limit?

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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