Question

If the function, f(x) = (2x - sin^-1x)/(2x = tan^-1x), (x ≠ 0)  is continuous at each point of its domain, then the value of f(0) is

(A) 2 

(B) 1/3 

(C) 2/3 

(D) -1/3

Answer 1

Answer is (B) 1/3

Applying L’Hospital’s rule, 

Alternate solution: