Application of Derivatives - Online Test

Q1. For a real number x, let [x] denote the greatest integer less than or equal to x thenf (x) =  is
Answer : Option B
Explaination / Solution:

Since [x−π] is an integer for all x∈R and tan nπ = 0 for all n∈I, therefore, F(x)= 0 for all x∈R.. So, f (X) is a constant and hence derivatives of f(x) of all order exist.