find the values of a and b such that the function g(x)=ax+b if x< or = -1
g(x)=ax^3+x+2b if x>-1
thx
a maths question
2013-10-27 5:17 am
回答 (1)
2013-10-27 6:14 am
✔ 最佳答案
If g(x) is continuous, then lim (x-> -1 -) g(x) = lim (x-> -1 +) g(x)lim (x-> -1 -) ax + b = lim (x-> -1 +) ax^3 + x + 2b
b - a = 2b - a - 1
b = 1
I thick that there is no restriction on the value of a
2013-10-26 22:14:32 補充：
thick should be think
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