Question

How do you find the limit of `[ ( t^2 + 2) / (t^3 + t^2 -1) ]` as x approaches negative infinity?

Answer 1

Limit is 0.

Explanation:

Assuming you mean the limit as t approaches negative infinity.

`(t^2+2)/(t^3+t^2-1)`

Divide through by highest power of 't' (in this case, `t^3`)

`(1/t + 2/t^3)/(1 + 1/t - 1/t^3)`

`lim_(t->-oo) (1/t + 2/t^3)/(1 + 1/t - 1/t^3) = (0 + 0)/(1 + 0 + 0) = 0`