Given that limx→−2 of f(x)=−4 and limx→−2 of g(x)=5, evaluate the following.limx→−2 of (f(x)−4g(x))
To evaluate the limit limx→−2 of (f(x) – 4g(x)), we can make use of the properties of limits and arithmetic operations
To evaluate the limit limx→−2 of (f(x) – 4g(x)), we can make use of the properties of limits and arithmetic operations.
First, let’s rewrite the expression in terms of the given limits:
limx→−2 of (f(x) – 4g(x)) = limx→−2 of f(x) – limx→−2 of (4g(x))
Now, substitute the known limits:
= (-4) – (4 * 5)
Simplify the expression:
= -4 – 20
= -24
Therefore, the limit limx→−2 of (f(x) – 4g(x)) is -24.
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