if i define the function f(x)= x^3-x^2-3x-1 and h(x) = f(x)/g(x), then evaluate the limit (3h(x)+f(x)-2g(x), assuming you know the following things about h(x):

Question

if i define the function f(x)= x^3-x^2-3x-1 and h(x) = f(x)/g(x), then evaluate the limit (3h(x)+f(x)-2g(x), assuming you know the following things about h(x):

h is continuous everywhere except when x = -1
lim as x approaches infinity of h(x) = infinity
lim as x approches -1 = 1/2

Answer 1

To evaluate the limit (3h(x) + f(x) - 2g(x)), we need to substitute the given information about h(x) into the expression.

First, we need to determine the function g(x), as it has not been defined in the question. Without the knowledge of g(x), we cannot fully evaluate the limit. Could you please provide the definition or any additional information about g(x)?