xsin1/x+b,x0求?

学习时间:2026-04-03 09:02:26 阅读：4175

xsin1/x+b,x0求?）当a,b为何值时,f(X)在x=0处有极限存在?（2）当a,b为何值时,f(X)在x=0处连续?希望有步骤,越详尽越好.

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2026-04-03 09:02:26

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1）极限存在lim(0-) = lim(0-) xsin1/x +b = blim(0+) = lim(0+) (sinx)/x = 1f(x)在x=0处极限存在的条件为 b=12)连续lim(0-) = f(0) = lim(0+)因此,a = b =1