- 14. Let g:R - R satisfy the relation g(x + y) = g(x)g(y) for all x, y in R. Show that if g is continuous at x=0, then
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- 14. Let g:R - R satisfy the relation g(x + y) = g(x)g(y) for all x, y in R. Show that if g is continuous at x=0, then
- 14. Let g:R - R satisfy the relation g(x + y) = g(x)g(y) for all x, y in R. Show that if g is continuous at x=0, then g is continuous at every point of R. Also if we have g(a) = 0 for some a ER, then g(x) = 0 for all x ER. 15 כמו D
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