Question

Which among the functions are continuous throughout its domain?

• A. log x
• B.
• C. cosec x
• D. cot x

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A

log x

B

C

cosec x

D

cot x

log x is defined for the domain $(0,\infty )$. Since 0 is not included. We don't have to check for continuity at x=0.

For every othere paint function is continuous.

Similarly $e^x$ can be given by curve.

Again no discontinuities at any point

For both $cosec$ and $cotx$ the domain is $R-n\pi$. Though at points $n\pi$ the function goes to infinity, the

function remain continuous since we exclude such oints from the domain