JEE Main 202126 Feb, Morning shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002Let f be any function defined on R and let it satisfy the condition : ∣f(x)−f(y)∣ ≤ ∣(x−y)2∣,∀(x,y)∈R|f(x) - f(y)|\, \le \,|{(x - y)^2}|,\forall (x,y) \in R∣f(x)−f(y)∣≤∣(x−y)2∣,∀(x,y)∈R If f(0) = 1, then :AOption A. f(x) can take any value in RBOption B. f(x)<0,∀x∈Rf(x) < 0,\forall x \in Rf(x)<0,∀x∈RCOption C. f(x)>0,∀x∈Rf(x) > 0,\forall x \in Rf(x)>0,∀x∈RDOption D. f(x)=0,∀x∈Rf(x) = 0,\forall x \in Rf(x)=0,∀x∈RCheckSkip · show solution
