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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

_ n → ∞ ( 1 n n+1 + 1 n n+2 + + 1 n 4n ) is equal to :

\lim_{n \to \infty}

\left( \frac{1}{\sqrt{n}\sqrt{n+1}} + \frac{1}{\sqrt{n}\sqrt{n+2}} + \dots + \frac{1}{\sqrt{n}\sqrt{4n}} \right)

is equal to :

Options

A2
B4
C $2(\sqrt{2} - 1)$
D $2\sqrt{2} - 1$

Correct answer

A. 2

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