Respuesta :
Answer:
Infinity
Explanation:
When you have a limit approaching infinity one method you can use is to remember that the highest power dominants all of the other ones so when we have (t^2)/t-1 like in your problem, we see that t^2 has the highest power of 2 so if that's going to infinity and it's not being divided by any powers higher than it will just be inifinity.
We have that for the Question, it can be said that in the limit calculations below, if you need to use -â or â, enter -infinity or infinity. the limit is
- [tex]Lim_{t->\infty} p(t)= \infty[/tex]
From the question we are told
- Tafu is working with subatomic particles in the physics lab. a positron is traveling in a straight line down the particle accelerator.
tafu models its position with the function
p(t)= t2 t â 1 where t>1.
in the limit calculations below, if you need to use -â or â, enter -infinity or infinity.
(a) calculate the limit
Generally the equation for the Question is mathematically given as
[tex]p(t)=\frac{t^2}{t-1}\\\\Therefore\\\\For Lim_{\infty}\\\\We have\\\\ Lim_{t->\infty} p(t)= Lim_{t->\infty}\frac{t^2}{t-1}\\\\[/tex]
Since, the equivalent degree of numerator (t^2) is greater than that of the denominator
[tex]Lim_{t->\infty} p(t)= \infty[/tex]
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