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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