Question

\[\lim_{t \rightarrow \infty}\frac{ \sqrt{t}+t^2 }{ 2t-t^2 }\]

Answer 1

How do I find the limit?

Answer 2

look at the highest exponent term in the numerator and the denominator

the numerator's highest exponent term is t^2
the denominator's highest exponent term is -t^2

then divide numerator term/denominator term to find the limit

(t^2)/(-t^2) = -1

that's your limit

Answer 3

(this only works if the exponents are the same)

Answer 4

Oh ok, thank you! That was a much easier method than how I was doing it.