Let f:(−1,∞)→R be defined by f(0)=1... | Continuity

JEE MAIN 2020

02-09-2020 S2

Question

Let $f:(-1, \infty) \longrightarrow R$ be defined by $f(0)=1$ and $f(x)=\frac{1}{x} \log _e(1+x), x \neq 0$. Then the function $f$ :

Select the correct option:

increases in ( $-1, \infty$ )

increases in ( $-1,0$ ) and decreases in ( $0, \infty$ )

decreases in ( $-1,0$ ) and increases in ( $0, \infty$ )

decreases in ( $-1, \infty$ )

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

Start Preparing for JEE with Competishun