ok so i have a big test tomorrow and i don't understand how to do this type of problem... f(x)=x^2-x+1, (f(2+h)-f(2))/(H)
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Originally Posted by Heather10 ok so i have a big test tomorrow and i don't understand how to do this type of problem... f(x)=x^2-x+1, (f(2+h)-f(2))/(h) $\displaystyle f(x)=x^2-x+1$ $\displaystyle \lim_{h \to 0}~\frac{(2+h)^2 - (2+h) +1 -[(2)^2 -2 +1]}{h}$ $\displaystyle \lim_{h \to 0}~\frac{4 + 4h + h^2 -2 -h +1 -4 + 2 -1}{h}$ $\displaystyle \lim_{h \to 0}~\frac{h^2+4h}{h}$
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