Question

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

Answer 1

1）极限存在

lim(0-) = lim(0-) xsin1/x +b = b

lim(0+) = lim(0+) (sinx)/x = 1

f(x)在x=0处极限存在的条件为 b=1

2)连续

lim(0-) = f(0) = lim(0+)

因此,a = b =1