If `3-((x^(2))/(12))lef(x)le3+((x^(3))/(9))` in the neighborhood of x=0, then find the value of `lim_(xto0) f(x).`

Explanation

According to question,
`underset(xto0)lim(3-(x^(2))/(12))leunderset(xto0)limf(x)leunderset(xto0)lim(3+(x^(3))/(9))`
or `(3-0)leunderset(xto0)limf(x)le(3+0)`
Hence, `underset(xto0)limf(x)=3" "`(Using sandwich theorem)