Let f and g be real functions. Show directly from the definitions that if f is everywhere continuous and lim g(x) = L, then lim f(g(x)) = f(L). x+1+ x+1+

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Let f and g be real functions. Show directly from the definitions
that if f is everywhere continuous and lim g(x) = L, then lim f(g(x)) = f(L).
x+1+
x+1+
Transcribed Image Text:Let f and g be real functions. Show directly from the definitions that if f is everywhere continuous and lim g(x) = L, then lim f(g(x)) = f(L). x+1+ x+1+
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