Final answer:
To find the limit lim (x → 3) (f(x) + g(x) - h(x)), we can use the limit properties and substitute the given values. The limit is 0.
Step-by-step explanation:
To find the limit lim (x → 3) (f(x) + g(x) - h(x)), we can use the limit properties. According to the properties of limits, the limit of a sum is equal to the sum of the limits. Therefore, the limit can be expressed as:
lim (x → 3) f(x) + lim (x → 3) g(x) - lim (x → 3) h(x)
Substituting the given values:
lim (x → 3) f(x) + lim (x → 3) g(x) - lim (x → 3) h(x) = 4 + (-4) - 0 = 0
Therefore, the limit lim (x → 3) (f(x) + g(x) - h(x)) is 0.