Final answer:
To find the second derivative of a function f(a), we can use the definition of the derivative and the limit definition of the derivative. In this case, the answer is option c) f′′(a)/3.
Step-by-step explanation:
To find the second derivative of a function f(a), we can use the definition of the derivative and the limit definition of the derivative. In this case, we have f′′(a) = limh→0 (f(a+h)−2f(a)+f(a−h)/h²).
To evaluate this limit, we can substitute the given function into the expression and simplify. After simplification, we can take the limit as h approaches 0 to find the second derivative of the function at point a.
Therefore, the answer is the option c) f′′(a)/3.