Maxima and MinimaHard
Question
f(x) = 1 + [cos x]x, in 0 < x ≤ 
(where [.] denotes greatest integer function)
(where [.] denotes greatest integer function)
Options
A.has a minimum value 0
B.has a maximum value 2
C.is continuous in 
D.is not differentiable at x = 
Solution
Since f(x) = 1 in 0 < x < 
(as [cos x] = 0)
∴ f(x) is continuous in
(as [cos x] = 0)∴ f(x) is continuous in
Create a free account to view solution
View Solution FreeMore Maxima and Minima Questions
Function f(x) = 2 + 4x2 + 6x4 + 8x6 has-...Which of the following statements is true for the general cubic function f (x) = ax3 + bx2 + cx + d (a ≠ 0)I. If t...A line is drawn through a fixed point (a, b), (a > 0, b > 0) to meet the positive direction of the coordinate axes...For x ∈ , define f(x). Then f has...f : → R, If f(x) = loge ((sin x)sinx + 1), then the minimum value of f(x) is :...