Discuss the nature of continuity of the following function at x = 1. f(x) = lim log(2+ x) - x" sinx 1+x2n (a) continuous at x = 1 discontinuity of first kind at

Discuss the nature of continuity of the following function at x = 1. f(x) = Lim log(2+ x) - x" sinx 1+x2n (A) continuous at x = 1 discontinuity of first kind at x = 1 (B) (C) discontinuity of second kind at x = 1 (D) removable discontinuity at x = 1 A function f is defined on interval (0, 1) as follows 0, when x is irrational when x is rational no.and lcm(p,g)=1 then which one of the following is true? (A) f is continuous at each irrational point and discontinuous at each rational point f is continuous at each rational point and discontinuous at each irrational point (B) f is discontinuous at each rational and irrational points (C) (D) f is continuous at each rational and irrational points