- #1

ranger

Gold Member

- 1,676

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## Main Question or Discussion Point

So I've been given a differential equation that models bacterial growth, p(t), and the concentration of critical substance, q(t), whatever thats suppose to mean. I've solved both of these and found that:

[tex]q(t) = q_0 e^{vt}[/tex]

Where q

I am then asked to take the limit of q(t) as follows:

[tex]\lim_{t \to \infty} \frac{q(t)} {1 + q(t)}[/tex]

which comes out to be:

[tex]\lim_{t \to \infty} \frac{ q_0 e^{vt}} {1 + (q_0 e^{vt})}[/tex]

Its been a while since I've done limits of this sort. So how would I approach this?

I'm just doing some exercises. Mentors can move it where they see fit

[tex]q(t) = q_0 e^{vt}[/tex]

Where q

_{0}is the amount critical substance at t=0. v is a constant.I am then asked to take the limit of q(t) as follows:

[tex]\lim_{t \to \infty} \frac{q(t)} {1 + q(t)}[/tex]

which comes out to be:

[tex]\lim_{t \to \infty} \frac{ q_0 e^{vt}} {1 + (q_0 e^{vt})}[/tex]

Its been a while since I've done limits of this sort. So how would I approach this?

I'm just doing some exercises. Mentors can move it where they see fit