Having trouble on these two questions. I have no idea and help would be much appreciated. Thanks.
Find
$\displaystyle \lim_{t \to 3} \frac{t^2 - 2t - 3}{t^2 + 4t - 21} $
Find
$\displaystyle \lim_{t \to \infty} \sqrt{t^2 + t} - t $
Thanks for the quick reply, Moo.
Sorry, I'm still have trouble with this. So substituting 3 in for t, and you have 0 on the numerator, and -3 on the denominator, which suggests it'll tend to 0, as t approaches 3?
But $\displaystyle t^2+4t-21 = 0 $ when t=3 as well. So then you'd have 0/0 which is undefined?
Excellent. Thanks a lot. It tends to 1/2.Multiply and divide by its conjugate, that is $\displaystyle \frac{\sqrt{t^2+t}{\color{red}+}t}{\sqrt{t^2+t}+t}$