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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

The value of ∫_0^1 ( _ n → ∞ ∑_ k=0 ^n x^ k+2 2^k k! ) dx is :

The value of ∫01(lim⁡n→∞∑k=0nxk+22kk!)dx\int_0^1 \left( \lim_{n \to \infty} \sum_{k=0}^n \frac{x^{k+2} 2^k}{k!} \right) dx is :

Options

  1. Ae2−1e^2 - 1
  2. B2
  3. Ce2−12\frac{e^2 - 1}{2}
  4. De2−14\frac{e^2 - 1}{4}

Correct answer

D. e2−14\frac{e^2 - 1}{4}

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