suppose f(x)= { ((a+bx, x<1)),((4, x=1)),((b−ax, x>1)) :} and if lim_(x→1) f(x)=f(1) what are possible values of a and b?


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Question Number 27699 by NECx last updated on 13/Jan/18
$suppose f(x)= { ((a+bx, x<1)),((4, x=1)),((b−ax, x>1)) :} and if lim_(x→1) f(x)=f(1) what are possible values of a and b?$
$s u p p o s e f (x) = {\begin{cases} a + b x, x < 1 \\ 4, x = 1 \\ b - a x, x > 1 \end{cases} a n d$ $i f \lim_{x \to 1} f (x) = f (1) w h a t a r e p o s s i b l e$ $v a l u e s o f a a n d b ?$
	Answered by peileng8802 last updated on 13/Jan/18

	$a + b (1) = 4 b - a (1) = 4$ $a + b = 4 b - a = 4$ $2 b = 8 4 - a = 4$ $b = 4 a = 0$
	Commented byNECx last updated on 13/Jan/18

	$t h a n k s s o m u c h$
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