lim t>infinity (t^3-5t)^2/3t^5+2t-4 show all working

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You need to substitute oo for t in limit such that:

`lim_(t->oo) ((t^3-5t)^2)/(3t^5+2t-4) = oo/oo`

Since the indetermination is of type `oo/oo` , you may use l'Hospital's theorem such that:

`lim_(t->oo) ((t^3-5t)^2)/(3t^5+2t-4) = lim_(t->oo) (((t^3-5t)^2)')/((3t^5+2t-4)')`

`lim_(t->oo) ((t^3-5t)^2)/(3t^5+2t-4) = lim_(t->oo) (2(t^3-5t)(3t^2 - 5))/(15t^4 + 2)`

`lim_(t->oo) (2(t^3-5t)(3t^2 -...

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