Addition, Subtraction, Multiplication and Division of Limits:

If lim_x®a f(x) = S and lim_x®a g(x) = T then,

lim_x®a [f(x) - g(x)] = S + T

lim_x®a [f(x) - g(x)] = S - T

lim_x®a [f(x) - g(x)] = S · T