real meaning of tangent

Hi,

So again there pops up a question about tangent.

According to Newton, dy/dx = lim h -> 0 ( f (x+h) - f (x) ) / h.

Well, in this scenario, the am confused on the sign of 'h'. In other
words is h approaching '0' from positive side or negative side of real
axis?

Because, h -> +0 and h -> -0 would yield different values in the
above equation!!!

In other words, different 'h' would give two different tangent values
at that point.

Thanks
.

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