Direct answer

JEEM_2025_29Jan_S1_Q4 Solution in 2 minutes

Answer-first note: Answer-first: reported value 5/3; telescope reciprocal factorial terms.

Question: Compute lim n->infinity sum (k^3+6k^2+11k+5)/(k+3)!.

Source note: Memory-based; reported answer 5/3.

Tags: JEE Main 2025, 29 January Morning Shift, Mathematics, Limits and Series, solution available.

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Compute lim n->infinity sum (k^3+6k^2+11k+5)/(k+3)!.

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Limits and Series should be revised before attempting this problem under time pressure.

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Answer-first: reported value 5/3; telescope reciprocal factorial terms.

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Summary table

AreaWhat to do
Exam tagJEE Main 2025 29 January Morning Shift.
Subject/topic tagMathematics / Limits and Series.
Difficulty tagModerate to memory-based.
Source cautionMemory-based; reported answer 5/3..
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JEEM_2025_29Jan_S1_Q4 is tagged as Mathematics / Limits and Series.

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