Question

f(x) = max \(\{x, x^3, x^5, ... x^{21}\},\) if number of points where f(x) is discontinuous = p and number of points where f(x) is not differentiable = q , then find the value of p + q

Answer 1

Answer is: 3 

f(x) is always continuous   \(\therefore\) p = 0 

f(x) is not different at 3 points q = 3 

\(\therefore\) \(p+q=3\)