Can someone please help me with this problem? Prove the limit relation lim_x-->0 log(x+1)/x = 1 by using the definition of the derivative Thanks in advance
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Originally Posted by DudenOxford Can someone please help me with this problem? Prove the limit relation lim_x-->0 log(x+1)/x = 1 by using the definition of the derivative Thanks in advance Not sure what "by using the definition of the derivative" means in this context, but L'Hopitals rule works here: RonL
Originally Posted by DudenOxford Can someone please help me with this problem? Prove the limit relation lim_x-->0 log(x+1)/x = 1 by using the definition of the derivative Thanks in advance No need to use L'Hopital's rule here. Consider the function . This function is differenciable at zero, and furthermore, . Hence, by definition of derivative,
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