Find $ \lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} $ for $ f(x)=-4+7 x $.
A) -7
B) -11
C) 7
D) -4
E) limit does not exist

Name: Find $ \lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} $ for $ f(x)=-4+7 x $. A) -7 B) -11 C) 7 D) -4 E) limit does not exist
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Question

Find $ \lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} $ for $ f(x)=-4+7 x $.
A) -7
B)  -11
C) 7
D) -4 
E) limit does not exist

Quizplus · Accepted Answer

$$\lim_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} = \lim_{h \rightarrow 0} \frac{-4+7(x+h)-(-4+7x)}{h} = \lim_{h \rightarrow 0} \frac{7h}{h} = 7$$

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)​ For f(x)=−4+7x f(x)=-4+7 x f(x)=−4+7x

Find $\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}$ For $f(x)=-4+7 x$