Re: [微分] 94政大風管
※ 引述《bitchdog (PEaCE)》之銘言：
: Assume that f(x)={-1 , x≦0
: {ax+b , 0<x<1 ,
: {1 , x≧1
: Determine the value of a and b such that f(x) is continuous
: 三個都是寫在同一個括號裡面
f(x) is continuous => lim f(x) = lim f(x)
x→0- x→0+
lim -1 = lim ax + b => -1 = b
x→0- x→0+
-1 , x ≦ 0
f(x) = ax - 1 , 0 < x < 1
1 , x ≧ 1
f(x) is continuous => lim f(x) = lim f(x)
x→1- x→1+
lim ax - 1 = lim 1
x→1- x→1+
a - 1 = 1 => a = 1 + 1 = 2
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