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Question #9f671

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Konstantinos Michailidis

May 23, 2016

Let compute #g# hence

#g(x)=lim_(h->0)((x+h)^2 -x^2)/h= lim_(h->0) [x^2+2xh+h^2-x^2]/h= lim_(h->0) [h(2x+h)]/h=2x#

Finally #g(x)=2x#

We want #g(x)=2# hence

#g(x)=2=>2x=2=>x=1#

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