limit help: lim t->1 [(t^4 - 1) / (t^3 - 1)]

[DWDustin]

So I need to solve this:

lim t->1 [(t^4 - 1) / (t^3 - 1)]

this is how far I got

lim t->1 [((t-1)(t+1)(t^2 + 1)) / (t^3 - 1)]

I know it will be positive if approached from either side so is it +infinity DNE or am I missing something?

Sorry if this is in the wrong spot, or doesn't make sense.

 

[pka]

So I need to solve this:
lim t->1 [(t^4 - 1) / (t^3 - 1)]

\(\displaystyle \dfrac{t^4-1}{t^3-1}=\dfrac{(t-1)(t+1)(t^2+1)}{(t-1)(t^2+t+1)}\)

 

[stapel]

So I need to solve this:

lim t->1 [(t^4 - 1) / (t^3 - 1)]

this is how far I got

lim t->1 [((t-1)(t+1)(t^2 + 1)) / (t^3 - 1)]

Refresh on how to factor the sums and differences of cubes! (here) You'll need this often in calculus!