10 JEE Main 2023 Limits previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 previous-year questions from the Limits chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Limits chapter hub.
Let f , g and h be the real valued functions defined on ℝ as f x = x x , x ≠ 0 1 , x = 0 ,     &#…
lim x → 0 1 - cos 2 ( 3 x ) cos 3 ( 4 x ) sin 3 ( 4 x ) log e 2 x + 1 5 is equal to
The set of values of a for which lim x → a x - 5 - 2 x + 2 = 0 , where, ζ denotes the greatest integer less…
The value of lim n → ∞ 1 + 2 - 3 + 4 + 5 - 6 + … + ( 3 n - 2 ) + ( 3 n - 1 ) - 3 n 2 n 4 + 4 n + 3 -…
If lim x → 0 e a x - cos ( b x ) - c x e - c x 2 1 - cos ( 2 x ) = 17 , then 5 a 2 + b 2 is equal to
lim t → 0 1 1 sin 2 t + 2 1 sin 2 t + 3 1 sin 2 t . . . . . . n 1 sin 2 t sin 2 t is equal to
lim x → ∞ 3 x + 1 + 3 x - 1 6 + 3 x + 1 - 3 x - 1 6 x + x 2 - 1 6 + x - x 2 - 1 6 x 3
Let x = 2 be a root of the equation x 2 + p x + q = 0 and f x = 1 - cos x 2 - 4 p x + q 2 + 8 q + 16 x - 2 p 4 , x X…
lim n → ∞ 2 1 2 - 2 1 3 2 1 2 - 2 1 5 . . . . 2 1 2 - 2 1 2 n + 1 is equal to
If α > β > 0 are the roots of the equation a x 2 + b x + 1 = 0 , and lim x → 1 α 1 - cos x…