I have this problem and it seems pretty easy. I think I'm just overthinking it.

At time t = 0 minutes, the temperature of a cup of coffee is 180 degrees Fahrenheit. Left in a room whose temperature is 70 degrees Fahrenheit, the coffee cools so that its temperature function T(t), also measure in degrees Fahrenheit, satisfies the differential equation: dT/dt = -1/2(T) + 35.

Find $\displaystyle \lim_{t \to \infty} T(t) $. Explain what this means in the context of the problem.

What is it asking me to do when it says "$\displaystyle \lim_{t \to \infty} T(t) $?" Is it asking me to set up an equation and solve (how would I do that?), or just explain what's happening? Also, can someone briefly explain whatishappening? I'm stumped. Thanks for any help.

the limit as t approaches infinity of T(t)