Calculating Limits Approaching Infinity: An Example

[sapiental]

I don't remember any rules on how to calculate limits approaching infinity.
for example, can someone please explain the following limit to me

(-1/2) lim (t->infinity) 1/(t^2 + 2) + 1/4 =

0 + 1/4 = 1/4

Thanks!

 

[sapiental]

oh I think I get it now.. as t gets bigger the function -1/2 (1/(t^2+2)) approaches 0.. therefore we set it equal to 0?

Any feedback is much appreciated. Thanks!

 

[quasar987]

Yes, that is the correct reasoning.

 

[sapiental]

Thanks again.