JEE Main 20202 Sep, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002Let f : (–1, ∞\infty∞) →\to→ R be defined by f(0) = 1 and f(x) = 1xloge(1+x){1 \over x}{\log _e}\left( {1 + x} \right)x1loge(1+x), x ≠\ne= 0. Then the function f :AOption A. decreases in (–1, ∞\infty∞)BOption B. decreases in (–1, 0) and increases in (0, ∞\infty∞)COption C. increases in (–1, ∞\infty∞)DOption D. increases in (–1, 0) and decreases in (0, ∞\infty∞)CheckSkip · show solution
