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UPCET / UPSEE Mathematics — practice by topic

Browse 759 questions across 156 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics topics

Binomial Theorem (63)Correlation and Regression (63)Linear Programming (63)Mean (63)Median (63)Permcomb (63)Sequences (63)Sequences and Series (63)Limits and Continuity (59)Vectors & 3D Geometry (56)Probability (54)Inverse Trigonometric Functions (50)Permutations and Combinations (49)Differential Equations (48)Complex Numbers (47)Complex Numbers and Quadratic Equations (47)Integral Calculus (46)Probability & Statistics (46)Application of Derivatives (44)Statistics and Probability (44)Logarithms (43)Number Theory (43)Relations and Functions (43)Sets, Relations and Functions (43)Application of Integrals (42)Geometry (42)Conic Sections (41)Integrals (36)Algebra (35)Calculus (35)Class11 Sets Basics (35)Class11 Sets Operations (35)Class12 Functions Basics (35)Class12 Relations Basics (35)Mathematics (35)Mensuration (35)Quadratic Equations (35)Sequences and Series Gp (35)Sets Basics (35)Statistics (35)Trigonometric Functions (35)Trigonometry (35)Matrices (34)Vector Algebra (34)Definite Integrals (30)Definite Integration (28)Matrices and Determinants (28)Surface Areas and Volumes (28)Three Dimensional Geometry (28)Differentiation (27)Vectors (26)JEE Main 2023 Mixed (25)Binomial Distribution (21)Probability Density Function (6)Trigonometric (6)Even/Odd Functions (5)Optimization (5)Basic Evaluation (4)Exponential (4)Formation (4)

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Evaluate $\displaystyle\lim_{x \to 0} \dfrac{\sin 3x}{x}$.Read the answer and worked solution →Evaluate $\displaystyle\lim_{x \to 2} \dfrac{x^2 - 4}{x - 2}$.Read the answer and worked solution →Evaluate $\displaystyle\lim_{x \to 0} \dfrac{1 - \cos 2x}{x^2}$.Read the answer and worked solution →Evaluate $\displaystyle\lim_{x \to \infty} \left(1 + \dfrac{2}{x}\right)^x$.Read the answer and worked solution →

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