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Question

Question: \(( - \infty,\infty)\), where [x] denotes the greatest integer less than or equal to x, is –...

(,)( - \infty,\infty), where [x] denotes the greatest integer less than or equal to x, is –

A

1

B

–1

C

0

D

Does not exist

Answer

0

Explanation

Solution

limxαlogxx\lim _ { x \rightarrow \alpha } \frac { \log x } { x } = limx1/x1\lim _ { x \rightarrow \infty } \frac { 1 / x } { 1 } = 0