Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ for $f ( x ) = 8 - x$.
A) 1
B) 9
C) $- 1$
D) 8
E) limit does not exist

Name: Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ for $f ( x ) = 8 - x$. A) 1 B) 9 C) $- 1$ D) 8 E) limit does not exist
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Question

Quizplus · Accepted Answer

\begin{align*}
\lim_{h	o 0}\frac{f(x+h)-f(x)}{h} &= \lim_{h	o 0}\frac{(8-(x+h))-(8-x)}{h}\
&=\lim_{h	o 0} \frac{-h}{h} \
&= -1
\end{align*}

Find lim⁡h→0f(x+h)−f(x)h\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }limh→0​hf(x+h)−f(x)​

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$