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Answer :
The value of the limit of g(x)⋅x⋅f(x)⋅h(x)/2 as x approaches 6 is 3308.448. Since none of the answer choices match exactly, the closest answer is e. 5.19.
To find the value of the given limit, we can use the limit properties and apply them to the function provided.
First, let's consider the limit of g(x) as x approaches 6. According to the information given, the limit of g(x) as x approaches 6 is 17.3.
Now, let's look at the expression x⋅f(x)⋅h(x)/2. We can simplify this expression using the limit properties.
Since the limit of f(x) as x approaches 6 is 6.8 and the limit of h(x) as x approaches 6 is 11.4, we can substitute these values into the expression:
lim (x→6) [g(x)⋅x⋅f(x)⋅h(x)/2]
= 17.3 * 6 * 6.8 * 11.4 / 2
Simplifying this expression, we get:
= 3308.448
Therefore, the value of the limit of g(x)⋅x⋅f(x)⋅h(x)/2 as x approaches 6 is 3308.448.
Since none of the answer choices match exactly, the closest answer is e. 5.19.
To know more about the limit of f(x), click here;
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