1
If x 0 ( xx ) 1x2 = p, then 96 e p is equal to
JEE Main 2025 (Online) 3rd April Evening Shift
Limits and Derivatives
Previous year questions with solutions · 2025 – 2026
19Questions
19Papers covered
2.11% ↓29.8%Weightage in 2026
’25
’26
Year-wise statistics questions · papers · average per paper · weightage
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 10 | 19 | 0.53 | 2.11% ↓29.8% |
| 2025 | 9 | 12 | 0.75 | 3.00% |
2
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 .
JEE Main 2025 (Online) 29th January Morning Shift
3
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 .
JEE Main 2025 (Online) 28th January Evening Shift