9 JEE Main 2026 Limits previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2026 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.
If x → ₀ e⁽a⁻¹⁾ x+2 ~b x+(c-2) e⁻xx x- e(1+x)=2, then a²+b²+c² is equal to :
Let f: R →(0, ∞) be a twice differentiable function such that f(3)=18, fⁱme(3)=0 and fⁱme ⁱme(3)=4. Then x → ₁ ( e ((f(…
If → ₂ (x³ - 5x² + ax + b)(√(x-1) - 1)(x-1) = m, then a + b + m is equal to :
Let f(x) = → ₀ ((1 - (xy)) (xy))/(y³). Then the number of solutions of the equation f(x) = x, x R is :
The value of → ₀ ((x²² x)/(x² - ² x) ) is:
The product of all possible values of α, for which → ₀ ((1 - (α x)((α+1)x)((α+2)x))/(²((α+1)x)) ) = 2, is:
Let → ₂ (((x-2))(rx² + (p-2)x - 2p))/((x-2)²) = 5 for some r, p R. If the set of all possible values of q, such that th…
Let [·] denote the greatest integer function and f(x)= n → ∞ 1n³ ₌₁ⁿ [k²3x ]. Then 12 ₌₁\ⁱⁿfty f(j) is equal to \\\\_.
The value of x → ₀ e ( (e x) · (e² x ) · … · (e¹⁰ x ) )e²-e² x is equal to