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If f(x)={((sin(1+[x]))/([x])"for"[x] ne ...

If `f(x)={((sin(1+[x]))/([x])"for"[x] ne 0,),(0" for " [x]-0,):}` where `[x]` denotes the greatest integer not exceeding x, then `lim_(xto0^-)f(x)=`

A

1

B

0

C

`-1`

D

none of these

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Solved Examples Level 1 (Single Correct Answer)
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  18. underset(xtooo)lim[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to

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