Question

The function f(x)=2x−3 is a polynomial and as such it is continuous for every x∈R. Then,find limₓ→₅ f(x)?

Answer 1

The limit of the function f(x) = 2x - 3 as x approaches 5 is 7, because polynomial functions are continuous and the value at x=5 is the limit.

Step-by-step explanation:

The question is asking to find the limit of the function f(x) = 2x - 3 as x approaches 5. Since polynomial functions are continuous over all real numbers, the limit of f(x) as x approaches any real number will just be the value of the function at that number. So, to find limₓ→₅ f(x), simply substitute 5 into the function:

f(5) = 2(5) - 3 = 10 - 3 = 7.

Therefore, the limit of the function as x approaches 5 is 7.