Question

Let f(x) = x³ - a³x - a if x ≠ a, c if x = a. Find the value of c such that f is continuous at x = a.

Answer 1

To find the value of c such that f is continuous at x = a, substitute a into the equation for f(x) to find f(a). The value of c is equal to f(a).

Step-by-step explanation:

To find the value of c such that f is continuous at x = a, we need to evaluate the value of f(a). Since c is the value of f(x) when x = a, we can substitute a into the equation for f(x). So, if x = a, then f(a) is equal to c. Therefore, the value of c that makes f continuous at x = a is equal to the value of f(a).