Question: 8. Show that if f : R Rm is continuous at a point, then |f| is also continuous point. = 9. Show that f(x)

8. Show that if f : R" Rm is continuous at a

8. Show that if f : R" Rm is continuous at a point, then |f| is also continuous point. = 9. Show that f(x) -- sin x, where x = R, is continuous. Hint: sin x - sin y = 2 sin (2) cos (ty) and sin x < |x|, Vx, y = R. 10. Examine the continuity of the following functions at x = = 0:

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