Let be an interval and let . Suppose that and are defined on and that the derivatives , exist and are continuous on . If and for , but , show that
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Maybe you could try Taylor's theorem? Write for some and . Taking the limit of the quotient should give you the result.
Originally Posted by Markeur Let be an interval and let . Suppose that and are defined on and that the derivatives , exist and are continuous on . If and for , but , show that This is just a repeated (legitimate) application of L'hopital's rule.
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