Calculate #lim_(xto1)(e^f(x)-1)/(x-1)# ?
Given #f:RR->RR# continuous at #x_0=1# with #lim_(xto1)f(x)/(x-1)=4#
Given
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Explanation:
#lim_(xto1)f(x)/(x-1)=4 implies lim_(xto1)f(x) =0#
For
Hence,
#lim_(xto1)(e^((x-1)g(x))-1)/((x-1)*g(x))=#
Substitute
Therefore