Final answer:
To find the limit of the function f(x) = √x²-14x + 50 as x approaches 7, we substitute x with 7 and evaluate the function, which results in the limit of 1.
Step-by-step explanation:
The question asks to find the limit of the function f(x) = √x²-14x + 50 as x approaches 7. To do this, we can simply substitute x with 7 in the function, as there's no indication of a discontinuity or a need for a more complex limit calculation.
Therefore, the limit is:
limx→7f(x) = √(7² - 14∙7 + 50) = √(49 - 98 + 50) = √1 = 1.
The limit of the function as x approaches 7 is 1.