jee-main 2026 Q30

jee-main · India · session1_24jan_shift1 Chain Rule Continuity Conditions via Composition
$f ( x ) = \frac { e ^ { x } \left( e ^ { \tan x - x } - 1 \right) + \log ( \sec x + \tan x ) - x } { \tan x - x }$ If $\mathrm { f } ( \mathrm { x } )$ is continuous at $\mathrm { x } = 0$, then find $\mathrm { f } ( 0 )$
$f ( x ) = \frac { e ^ { x } \left( e ^ { \tan x - x } - 1 \right) + \log ( \sec x + \tan x ) - x } { \tan x - x }$\\
If $\mathrm { f } ( \mathrm { x } )$ is continuous at $\mathrm { x } = 0$, then find $\mathrm { f } ( 0 )$