Limit, Continuity and Differentiability in JEE Main: weightage, trend and PYQs (2002–2026)

Limit, Continuity and Differentiability has appeared in 571 JEE Main questions between 2002 and 2026. In the last five years it ranks #3 of 18 Mathematics chapters by how often it was asked, with 251 questions.

It has held steady: about 50.2 questions a year recently, against 46.2 in the five years before.

Year-wise weightage

Counts are questions per year across all sessions and shifts, so years with more shifts naturally have more.

Difficulty and question type

Of the 571 questions, 19% were easy, 69% medium and 12% hard. 106 were numerical-answer questions, so practise getting exact values, not just eliminating options.

Latest Limit, Continuity and Differentiability questions

• JEE Main 2026 · 21 Jan Morning shift: Let f:R→(0,∞) be a twice differentiable function such that f(3)=18, f'(3)=0 and f''(3)=4. Then lim x→1 (log e…
• JEE Main 2026 · 21 Jan Evening shift: Let f(x)=x³+x²f'(1)+2xf''(2)+f'''(3), x. Then the value of f'(5) is:
• JEE Main 2026 · 24 Jan Morning shift: Let α, β R be such that the function f(x) = 2α(x² - 2) + 2β x, x < 1 (α + 3)x + (α - β), x ≥ 1 be differentiable at…
• JEE Main 2026 · 24 Jan Evening shift: Let [t] denote the greatest integer less than or equal to t. If the function f(x)= b² sin ((π)/2[(π)/2(cos x+ sin x)…
• JEE Main 2026 · 24 Jan Evening shift: Consider the following three statements for the function f:(0,∞) defined by f(x)=| log e x|-|x-1|: (I) f is…
• JEE Main 2026 · 24 Jan Morning shift: If the function f(x) = (eˣ(e^(tan x - x) - 1) + log e (sec x + tan x) - x)/(tan x - x) is continuous at x = 0, then…
• JEE Main 2026 · 23 Jan Morning shift: Let f(x)= (ax²+2ax+3)/(4x²+4x-3), x≠-3/2,1/2 b, x=-3/2,1/2 be continuous at x=-3/2. If f° f(x)=7/5, then x is equal to:
• JEE Main 2026 · 21 Jan Evening shift: Let f:R be a twice differentiable function such that f''(x)>0 for all x and f'(a-1)=0, where a is a real number. Let…

See all 571 with worked solutions on the Limit, Continuity and Differentiability chapter page.