If the function f(x)={Ax−B,x≤13x,1<x<2Bx2−A,x≥2 is continuous at x=1 and discontinuous at x=2, find the values of AandB˙

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Question

If the function $f (x) = {A x - B, x \leq 13 x, 1 < x < 2 B x^{2} - A, x \geq 2$ is continuous at $x = 1$ and discontinuous at $x = 2,$ find the values of $A a n d B ˙$

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Sebastian Discussed

If the function

f (x) = {A x - B, x \leq 13 x, 1 < x < 2 B x^{2} - A, x \geq 2

is continuous at

x = 1

and discontinuous at

x = 2,

find the values of

A a n d B ˙

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Discuss this question LIVE

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Question Text

If the function

f (x) = {A x - B, x \leq 13 x, 1 < x < 2 B x^{2} - A, x \geq 2

is continuous at

x = 1

and discontinuous at

x = 2,

find the values of

A a n d B ˙