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JEE Main Mathematics

Limits, Continuity & Differentiability

No official chapter weightage

Indeterminate forms 0/0 and ∞/∞, standard limits, Squeeze Theorem, and differentiability criteria.

lim⁡x→0sin⁡(x)x=1,lim⁡x→0ex−1x=1,f′(c)=f(b)−f(a)b−a\lim_{x \to 0} \frac{\sin(x)}{x} = 1, \quad \lim_{x \to 0} \frac{e^x - 1}{x} = 1, \quad f'(c) = \frac{f(b) - f(a)}{b - a}

What this unit covers

  • Standard Algebraic & Exponential Limits

  • L'Hôpital's Rule & Series Expansion Approximations

  • Continuity on Closed Intervals & Intermediate Value Theorem

  • Differentiability & Non-Differentiable Cusps / Corners

Other units in JEE Main Mathematics