I have this problem, with three functions:(adsbygoogle = window.adsbygoogle || []).push({});

f(x)=5x(x-2)(1/(x-2))

g(x)=5x(x-2)(1/(x-2)^2)

h(x) 5x(x-2)^2(1/(x-2)

The problem says that as x approaches 2, the functions take the form 0 times infinity, and asks you to "show" this. I tried plugging in 2 for x, but I got 0 times 1/0 (either undefined by 1/0 or indeterminate by 0/0) in each case. How am I supposed to get 0 times infinity?

The next part of the problem asks for the limits as x approaches 2, which I can see are 10, infinity (magnitude increasing without bound) and 0, respectively. The part after that says "Describe three things that the indeterminate form 0 times infinity could approach." Does that refer to the limits I just found, or some mathy smart thing I don't know about?

Your help would be much appreciated! Thanks!

**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!

# Homework Help: Indeterminate: 0 times infinity, limits

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