Okay so I know that the answer is just C, but I don't understand how to get there. I figured out that I have to use L Hospitals rule because I have an indeterminate form of infinity over infinity. I then got (1/A + e^(Cx) * e^(Cx))/(1). I then simplified that to 1/(A+e^(Cx)) which then simplified into e^(Cx).
Can someone please guide me and explain to me the process of solving this problem? Thank you!
A and C are constants by the way!
EDIT: C and A > 0. Sorry forgot to specify that!