Xsin1 / x + B, x0? ）What are the values of a and B, f (x) has a limit at x = 0? (2) what are the values of a and B, f (x) is continuous at x = 0? & nbsp; the more detailed the steps, the better

1) Limit existence
lim(0-) = lim(0-) xsin1/x +b = b
lim(0+) = lim(0+) (sinx)/x = 1
The condition for the existence of limit of F (x) at x = 0 is b = 1
2) Continuous
lim(0-) = f(0) = lim(0+)
Therefore, a = b = 1

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