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Limits and Derivatives

Previous year questions with solutions · 2025 – 2026

22Questions
22Papers covered
2.11%Weightage 2026▼ 16.7% vs last year
Year-wise statistics questions · papers · average per paper · weightage
YearQuestionsPapersAvg / paperWeightage
202610190.532.11% ▼ 16.7% vs last year
202512190.632.53%

3 questions · newest paper first

Ques. 1JEE Main 2025, 3 April (Evening Shift)

If x 0 ( xx ) 1x2 = p, then 96 e p is equal to

Ques. 2JEE Main 2025, 29 January (Morning Shift)

Let [t] be the greatest integer less than or equal to t. Then the least value of p N for which x 0+ (x ( [ 1x ] + [ 2x ] + + [ px ] ) - x2 ( [ 1x2 ] + [ 22x2 ] + + [ 92x2 ] ) ) 1 is equal to .

Ques. 3JEE Main 2025, 28 January (Evening Shift)

Let f(x) = n r=0n ( (x/2r+1 ) + 3 (x/2r+1 )1 - 2 (x/2r+1 ) ). Then x 0 ex - ef(x)(x - f(x)) is equal to .