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Question: The value of \(\lim_{x \rightarrow 0^{+}}\frac{\lbrack x\rbrack}{x}\) is (where [·] denotes greatest...

The value of lim⁡x→0+[x]x\lim_{x \rightarrow 0^{+}}\frac{\lbrack x\rbrack}{x} is (where [·] denotes greatest integer):

A

1

B

0

C

D

None of these

Answer

0

Explanation

Solution

lim⁡h→0[0+h]0+h=0\lim_{h \rightarrow 0}\frac{\lbrack 0 + h\rbrack}{0 + h} = 0