So I understand how to construct a sequence inductively (sometimes) but I am not sure in this case how the second part of the hint is supposed to help me show that I can construct the sequence. Any pointers?Attachment 30381

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- Mar 11th 2014, 10:12 PMrkushner83Real Analysis: Derivatives and Convergent Sequences
So I understand how to construct a sequence inductively (sometimes) but I am not sure in this case how the second part of the hint is supposed to help me show that I can construct the sequence. Any pointers?Attachment 30381

- Mar 12th 2014, 03:50 PMRebesquesRe: Real Analysis: Derivatives and Convergent Sequences
I think there's a typo, the hint should be $\displaystyle \lim_{y\rightarrow a}\frac{f(x_n)-f(y)}{x_n-y}$