if f(x)= { ((mx^2 +n, x<0)),((nx+m, 0≤x≤1)),((nx^3 +m, x>1)) :} for what integers m and n does both lim_(x→0) f(x) and lim


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Question Number 27700 by NECx last updated on 13/Jan/18
$if f(x)= { ((mx^2 +n, x<0)),((nx+m, 0≤x≤1)),((nx^3 +m, x>1)) :} for what integers m and n does both lim_(x→0) f(x) and lim_(x→1) f(x) exist?$
$i f f (x) = {\begin{cases} {m x}^{2} + n, x < 0 \\ n x + m, 0 ⩽ x ⩽ 1 \\ {n x}^{3} + m, x > 1 \end{cases}$ $f o r w h a t i n t e g e r s m a n d n d o e s$ $b o t h \lim_{x \to 0} f (x) a n d \lim_{x \to 1} f (x) e x i s t ?$
Commented byNECx last updated on 14/Jan/18

$h o w a b o u t t h i s ?$
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