The limit lim h→0 ln(e+h)-1/h represents f′ (a) for some function f and some number a. Find f(x) and a.
Added by David M.
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We are given the limit expression \(\lim_{h \to 0} \frac{\ln(e+h)-1}{h}\). This expression is in the form that suggests it's the derivative of a function at a certain point, given by the definition of the derivative: \(\lim_{h \to 0} \frac{f(a+h)-f(a)}{h}\). Show more…
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