## Zenmo one year ago Find the limit, if it exists. (Calculus)

1. Zenmo

$\lim_{t \rightarrow \infty}\frac{ \sqrt{t}+t^{2} }{ 7t-t^{2} }$

2. TylerD

try dividing everything by t^2

3. Zenmo

|dw:1444043607565:dw|

4. TylerD

$\frac{ \frac{ \sqrt{t} }{ t^2 }+\frac{ t^2 }{ t^2 } }{ \frac{ 7t }{ t^2 } -\frac{ t^2 }{ t^2 }}$

5. TylerD

right

6. Zenmo

then we just plug in zero?

7. TylerD

are you taking the limit to infinity or 0?

8. Zenmo

infinity

9. TylerD

ya, the you get something like |dw:1444043756559:dw|

10. TylerD

those terms goto 0, and you get -1

11. Zenmo

can you show how you gotten the numerator of 1/tln5. I may need a bit refresher in that area.

12. TylerD

|dw:1444043877047:dw|

13. TylerD

thats 1.5 not ln5

14. Zenmo

Last question, what made you choose the value of 0.5?

15. TylerD

the square root of something means your raising it to the power of 1/2 or 0.5

16. Zenmo

then u plug in the square root power of 1/2 or 0.5 and plug used it as the value of t for t^2?

17. Zenmo

to get t^1.5

18. TylerD

|dw:1444044104865:dw|

19. Zenmo

Ok I see it. Thanks :D

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