Question 1139917
your 3 equations are:


f(x) = 7 - x^2 when x < 0.


f(x) = 7 when x = 0.


f(x) = 10x + 7 when x > 0


as x approaches 0, 7 - x^2 approaches 7.


as x approaches 0, 10x + 7 approaches 7.


the limit as x approaches 0 is therefore 7.


it's the same value when you approaches it from the left (7 - x^2) as when you approach it from the right (10x + 7).


i'd go with 7.


you can probably see this graphically.


here's what i show.


<img src = "http://theo.x10hosting.com/2019/042601.jpg" alt="$$$" >


all roads point to y = 7 as x approaches, or is at, 0.