A VERY IMPORTANT LIMIT

FIND limh--> 0 [f(x + h) - f(x)]/h

EXAMPLE: f(x) = x2

limh--> 0 [(x + h)2 - x2]/h =

limh--> 0 [x 2 +2hx + h2 - x2]/h =

limh--> 0 h[2x + h]/h = 2x

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