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:(adsbygoogle = window.adsbygoogle || []).push({});

[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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Limit of this

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**