Question

Discus the continuity of the following functons:
$f\left(x\right)=\sin x+\cos x$

Answer 1

$f\left(x\right)=sinx+cosx$.

We know that $sinx$ is continuous for all $xϵR$ also $cosx$ is continuous $VxϵR$

$\therefore$ $f\left(x\right)$ is continuous $VxϵR$.