Q21·Section II (Mathematics)·21 of 145xsin(1/x)→0x\sin(1/x)\to0xsin(1/x)→0 but sin(1/x)\sin(1/x)sin(1/x) oscillatesDefine f1(x)=sin1xf_1(x)=\sin\frac1xf1(x)=sinx1, x≠0x\ne0x=0, f1(0)=0f_1(0)=0f1(0)=0 and f2(x)=xsin1xf_2(x)=x\sin\frac1xf2(x)=xsinx1, f2(0)=0f_2(0)=0f2(0)=0. OptionsAf1f_1f1 and f2f_2f2 are both continuous at 0BNeither f1f_1f1 nor f2f_2f2 is continuous at 0Cf2f_2f2 is continuous at 0 but f1f_1f1 is not continuous at 0Df1f_1f1 is continuous at 0 but f2f_2f2 is notPick an option to check your answer.Show answerShow solution Report a problem with this question← Q20All questionsQ22 →Keyboard: A–D answer · S solution · ←/→ previous/next