Given a function f : R R and some LE R, we say f(x) converges to...

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Given a function f : R R and some LE R, we say f(x) converges to L as x if for all > 0, there exists some M = R such that for all x > M, | f (x) L| 1/8, or -1/y > 1/8. This might help you find the right value of 8.) (c) Continuing from (b), show that if f is continuous at 0, then lim g(y) = = lim_g(y) = f(0) y-x yx x-h Given a function f : R R and some LE R, we say f(x) converges to L as x if for all > 0, there exists some M = R such that for all x > M, | f (x) L| 1/8, or -1/y > 1/8. This might help you find the right value of 8.) (c) Continuing from (b), show that if f is continuous at 0, then lim g(y) = = lim_g(y) = f(0) y-x yx x-h