Well, I admit that I don't have a good grasp on limits of this nature, but I do know that
and that the limit of a sum is the sum of the limits.
I know I used good math here. The only part that I was unsure of was subtraccting infinity from infinity.
Could you please enlighten me with an explaination?
Substitute and consider the limit .
If this had been posted in the Calculus subforum you could now easily apply l'Hopital's rule.
However, without using l'Hopital's Rule, there's slightly (but not a lot) more work ..... multiply numerator and denominator by the conjugate surd (twice) and then cancel a common factor of t.
Either way, you get 0 as the answer.