Calculus

Find the limit as it approaches zero. ( f( x + change in x) - f(x) )/ change in x given f(x)=2x-5.
( change in x = triangle x)

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  1. f+dx = 2(x+dx) - 5

    = 2 x + 2 dx -5

    f(x) = 2 x - 5

    ((f(x+dx) - f(x)) = 2 dx

    divide by dx

    = 2

    no need to approach 0 with this, the slope of a straight line is constant.

    by the way the derivative of 2 x - 5 is 2

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