If c is a real number, then Think of this as taking the limit of
the constant function f(x) = c. No matter what we plug in for x,
we get c as the output. If we made a table every number in the
f(x) column would be c. As x gets closer to a, f(x) gets closer
to (or stays equal to) c. As long as a is a real number, it
doesn't even matter what a is. c is all that matters. Using
actual numbers, what is ? We're looking at the limit as x
approaches 3 of the function f(x) = x. If we make a table, we
find As x gets closer to 3, f(x) gets closer to 3 since x and
f(x) are the same thing. The picture of f(x) = x is a line: From
the picture we can see that as x gets closer to 3, f(x) also
gets closer to 3. We conclude that = 3. Find the limit.
\lim_x\to -30 π Find the following limit. \lim_x\to2x2 + 5
\lim_x\to23x2 + 15 \lim_x\to210x2 + 50