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[Senior Three Mathematics]: Seeking the limit: "z-> 0 " ...
When f (x) = x 2-4x,

Original formula l (z) = [(x+z) 2-4 (x+z)-x 2+4x]/z.

=(x^2+2zx+z^2-4x-4z-x^2+4x)/z

=(2zx-4z)/z

=2x-4

When z-> 0 o'clock

Original limit =2x-4

In fact, for the original constant formula L (z): [f (x+z)-f (x)]/z when z->; 0 Its limit is the first derivative of f(x) at x point.