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Using the limit definition, how do you differentiate #f(x) = x+3#?

1 Answer

Nov 5, 2015

#f'(x)=1#

Explanation:

By definition, #f'(x)=lim_(h->0)(f(x+h)-f(x))/h#

#=lim_(h->0)(((x+h)+3)-(x+3))/h#

#=lim_(h->0)h/h#

#=lim_(h->0)(1)=1#

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