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Mathematics 18 Online
OpenStudy (anonymous):

lim(x-->infinity)a/x[x/b],[] is the greatest integer function.

OpenStudy (anonymous):

Can any one help?

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

@AravindG

ganeshie8 (ganeshie8):

\(\large \lim \limits_{x\to \infty} \dfrac{a}{x[x/b]}\)

ganeshie8 (ganeshie8):

like that ?

ganeshie8 (ganeshie8):

\(\large \lim \limits_{x\to \infty} \dfrac{a}{x}[x/b]\) or this ?

OpenStudy (anonymous):

The second one.

OpenStudy (anonymous):

I want to ask that the limit is not existing for me. Is it true?

ganeshie8 (ganeshie8):

my guess is limits exists, and equals : a/b

ganeshie8 (ganeshie8):

but i need to think a bit..

OpenStudy (anonymous):

Yes,got it in the left hand limit,but the right hand limit is a diffrent one.

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