A. $f(x)=|x|$ is continuous function on R (the set of real numbers) B. $f(x)=[x]$ is continuous function on R. C. $f(x)=\sin x$ is continuous function on R. D. $f(x)=\tan x$ is continuous function on R. E. $f(x)=\sin x+\cos x$ is continuous function on R. Choose the correct answer from the options given below:

A, B only C only A, C, E only C, D, E only

A, C, E only

The correct answer is Option (3) → A, C, E only