Let's take a look at limits of functions at infinity. Given a function f : R - R and some L E R, we say f(x) converges to L as x -> co if for all & > 0, there exists some M E R such that for all r > M, If ( x) - L| 1/6, or -1/y > 1/6. This might help you find the right value of 6.) (c) Continuing from (b), show that if f is continuous at 0, then lim g(y) = lim g(y) = f(0) 4-+00