Question: Show that | x 2 - 4 | w h e n 0 | x - 2 | ( 5 + ) - 1 and

Show that |x2-4|when0|x-2|(5+)-1 and prove limx2x2=4by using
these inequalities. Show that |x2-4| when 0|x-2|(5+)-1 and prove limx2x2=4by using
these inequalities.
Show that the function f(x)=xsin(1x), with f(0)=0,is continuous at0 but not
differentiable at0.
Show that | x 2 - 4 | < w h e n 0 < | x - 2 | < (

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