13 JEE Main 2025 Limits previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2025 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.
x → ∞ (2 x²-3 x+5 )(3 x-1)⁽x⁾/⁽²⁾ (3 x²+5 x+4 ) √((3 x+2)^x) is equal to :
If x → ∞ ( (e1-e ) (1e-(x)/(1+x) ) )^x=α, then the value of e α1+ e α equals :
For α, β, γ, R, if x → ₀ x² α x+(γ-1) ex^² 2 x-β x=3, then β+γ-α is equal to:
If the function f(x)=( ( x)- ( x))/( x- x) is continuous at x=0, then f(0) is equal to ________
Let [t] be the greatest integer less than or equal to t. Then the least value of p N for which x → ₀⁺ (x ( [(1)/(x) ]+…
x → ₀ cosec x (√(2 ² x+3 x)-√( ² x+ x+4) ) is:
Let f(x)= n → ∞ ₌₀ⁿ ( (x / 2r⁺¹ )+ ³ (x / 2r⁺¹ )1- ² (x / 2r⁺¹ ) ). Then x → ₀ e^x-ef⁽x⁾(x-f(x)) is equal to
Given below are two statements : Statement I : x → ₀ ( ⁻¹ x+ e √((1+x)/(1-x))-2 xx⁵ )=(2)/(5) Statement II : x → ₁ (x^2…
x → ₀⁺ (5(x)⁽¹⁾/⁽³⁾ ) e (1+3 x² ) ( ⁻¹ 3 √(x) )² (e^5(x)⁽⁴⁾/⁽³⁾-1 ) is equal to
If x → ₁⁺ ((x-1)(6+λ (x-1))+µ (1-x))/((x-1)³)=-1, where λ, µ R, then λ+µ is equal to
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