Given-a-function-f-x-2x-a-x-lt-3-ax-b-3-x-3-b-5x-x-gt-3-find-the-value-of-a-and-b-such-that-lim-x-3-f-x-and-lim-x-3-f-x-exist-

Question Number 99340 by bobhans last updated on 20/Jun/20

Given a function f (x) = {\begin{cases} 2 x - a, x < - 3 \\ ax + b, - 3 ⩽ x ⩽ 3 \\ b - 5 x, x > 3 \end{cases}

find the value of a and b such that

\underset{x \to - 3}{\lim f} (x) and \lim_{x \to 3} f (x) exist

Commented by PRITHWISH SEN 2 last updated on 20/Jun/20

3 a + b = b - 15 \Rightarrow a = - 5

- 6 + 5 = 15 + b \Rightarrow b = - 16 please check

Commented by bobhans last updated on 20/Jun/20

thank you

Commented by PRITHWISH SEN 2 last updated on 20/Jun/20

welcome