Question

Find the slope of the function f ( x ) = 3 - 2 x , by the definition of limit.

Answer 1

Answer:

the slope is -2$\lim_{n \to \0}( f(x+h)-F(x)) /h \\\\ \lim_{n \to \0} (3-2(x+h)-(3-2x))/h\\ f(x+h)= 3-2(x+h) \\f(x)=3-2x\\ \\\lim_{n \to \0} (3-2x-2h-3+2x)/h\\\\ \lim_{n \to \0} -2h/h\\ \\ \lim_{n \to \0} -2\\=-2\\\\In all limits, you have to put n goes to 0 (zero)$

Step-by-step explanation: