suppose-f-x-a-bx-x-lt-1-4-x-1-b-ax-x-gt-1-and-if-lim-x-1-f-x-f-1-what-are-possible-values-of-a-and-b-

Question Number 27699 by NECx last updated on 13/Jan/18

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 by NECx last updated on 13/Jan/18

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

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