JEE Mathematics · Hard

Sequences and Series: Infinite series MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Infinite seriesHardQuestion 210045

Question

Sum of 1/1! + 1/2! + 1/3! + ... converges to:
  1. A
    e − 1
    Correct
  2. B
    e
  3. C
    ln 2
  4. D
    e + 1

Correct answer

e − 1

Explanation

e = 1 + 1/1! + 1/2! + ... So 1/1! + 1/2! + ... = e − 1.