` lim_(x to - infty) [((x^(4) sin (1/x) + x^(2)))/((1+|x|^(3)))]=...`

1.	` lim_(x to - infty) [((x^(4) sin (1/x) + x^(2)))/((1+\|x\|^(3)))]=...`
Answer» Correct Answer - `-1` `underset( x to - infty) lim ((x^(4) sin. 1/x + x^(2))/(1+\|x\|^(3))) = underset(x to - infty) lim (x^(4)sin.1/x + x^(2))/(1-x^(3))` On dividing by `x^(3)`, we get `underset(x to - infty) lim ((sin (1//x))/(1/x) + 1/x )/(1/x^(3)-1) = (1+0)/(0-1) =- 1`

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