Question

If \[f\] is continuous, which scalar multiple is continuous?

Options

• \[\lambda f\]

• \[\frac{f}{0}\]

• \[\tan x\] where \[\cos x=0\]

• \[\frac{1}{f}\] without any non-zero condition

Answer 1

If \[f\] is continuous, then \[\lambda f\] is continuous. Multiplying a continuous function by the scalar \[\lambda\] preserves continuity.