Hi, I'm new here and this is my first post but I'm having trouble with one of my homework problems. I have the function:

g(x) = (a(x+b)(x-c)(x+d)) / (e(x-f)(x-b)(x-c)), where a, b, c, d, e, and f are all unique, positive real numbers.

a) At what values of x=h does the limit g(x) = -∞ or +∞ as x->h?

b) Evaluate the limit of g(x) as x->c.

c) Does the limit g(x) as x->∞ exist?

I'm completely stuck and unsure where to start...

−∞−∞