1.

Let lim_(xto0) ([x]^(2))/(x^(2))=m, where [.] denotes greatest integer. Then,

Answer»

`-(1)/(SQRT(2))`
`(1)/(sqrt(2))`
`sqrt(2)`
`-sqrt(2)`

Solution :`([x]^(2))/(x^(2))=[{:(0", ""if "0LTXLT1),((1)/(x^(2))","" if "-1ltxlt0):}impliesl " does not exist"`
`([x]^(2))/(x^(2))=[{:(0", ""if "0ltxlt1),(0","" if "-1ltxlt0):}impliesm" exists and is EQUAL to 0"`


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