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JEE Main Limits questions with solutions

Evaluation of limits and standard limit forms. 9 questions from our 2017–2025 JEE Main pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Limits for JEE Advanced · Limits for NDA

JEE Main 2025

Lim x→∞x(√(x^2+4x)-x-2) equalsJEE Main 2025 · medium

JEE Main 2024

Lim x→0(1-cos 4x)/(x^2 equalsJEE Main 2024 · easy

JEE Main 2023

Lim n→∞Σr=1^n(r^2/(n^3+r^3 equalsJEE Main 2023 · hard

JEE Main 2022

Lim x→0((sin x)/(x))^1/x^2 equalsJEE Main 2022 · hard

JEE Main 2021

Lim x→0(e^x^2-cos x)/(x^2 is equal toJEE Main 2021 · medium

JEE Main 2020

Lim n→∞Σk=1^2n(k)/(n^2+k^2 equalsJEE Main 2020 · hard

JEE Main 2019

Lim x→0(cos (sin x)-cos x)/(x^4 equalsJEE Main 2019 · hard

JEE Main 2018

Lim x→0(e^x^2-cos x-tfrac32x^2/(x^4 equalsJEE Main 2018 · hard

JEE Main 2017

Lim x→0(e^3x-1)/(sin 2x) equalsJEE Main 2017 · easy

Other Mathematics topics

Area Under Curves 7 Binomial Theorem 12 Complex Numbers 10 Conic Sections 5 Differential Equations 9 Differentiation and Application of Derivatives 19 Indefinite and Definite Integrals 16 Matrices and Determinants 19 Permutations and Combinations 10 Probability 9 Quadratic Equations 9 Sequences and Series 9 Sets, Relations and Functions 10 Statistics 6 Straight Lines and Circles 9 Three Dimensional Geometry 14 Trigonometry and Inverse Trigonometric Functions 9 Vector Algebra 8