The limiting value of the expression is 38.
How to determine the limiting value of function.
The limit of a function describes the behavior of the function as its input approaches a certain value. It signifies the value that the function approaches or "approaches arbitrarily close to" as the input gets very close to a specified point.
Given the graphs of functions f and g.
lim→4 f(x) + 7g(x)
From the graph of f
lim f(x), x→ 4⁺ =3
limf(x), x→ 4⁻ = 3
So,
lim f(x), x→ 4 = 3
lim g(x), x→ 4⁺ = 5
lim g(x), x→ 4⁻ = 5
Therefore, limit of g(x) as x approaches 4 is 5.
lim→4f(x) + 7*lim→4g(x) = 3 + 7*5
= 3 + 35 = 38
The limiting value of the expression is 38.