find lim f(x) - lim f(x)
To find lim f(x) - lim f(x), we can apply the limit properties. The difference of two limits is equivalent to the limit of their difference, so we can write it as:
lim [f(x) - f(x)]
However, since f(x) - f(x) is always equal to zero, this expression simplifies to:
lim [0]
And the limit of a constant function is equal to the constant itself. So, the final answer is:
lim f(x) - lim f(x) = 0