The problem of discontinuity The number of discontinuities of function f (x) = SiNx / x + e ^ X / 1-x is? When x = 0, there is a discontinuous point? Why is this? Is the point function undefined, or does the limit not exist, or does the limit exist but not equal to the value of the point function? 1-x is the denominator as a whole. Why isn't the function defined at 0?

The problem of discontinuity The number of discontinuities of function f (x) = SiNx / x + e ^ X / 1-x is? When x = 0, there is a discontinuous point? Why is this? Is the point function undefined, or does the limit not exist, or does the limit exist but not equal to the value of the point function? 1-x is the denominator as a whole. Why isn't the function defined at 0?

Two bar, 1 and 0 (I guess 1-x is the denominator as a whole, right) 0 is the breakpoint. At 0, the function is undefined, because 0 cannot be the denominator. The limit of 0 exists, but this limit is just the value of the function approaching this point. At this point, the function is undefined because SiNx / x, this x is in the Fen