JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

For

x \in \mathbf{R}

, let

[x]

denote the greatest integer

\leq x

. Largest natural number

n

for which

E=\left[\frac{\pi}{2}\right]+\left[\frac{1}{100}+\frac{\pi}{2}\right]+\left[\frac{2}{100}+\frac{\pi}{2}\right] \ldots+\left[\frac{n}{100}+\frac{\pi}{2}\right]<43,

View answer and explanation

Correct option: A

Option A (41) is correct because it is the largest integer 'n' such that the sum of the greatest integer functions is less than 43.

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