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).`

If `3-((x^(2))/(12))lef(x)le3+((x^(3))/(9))` in the neighborhood of x=

1.	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).`
Answer» 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)

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