@@884 Verify the following inequality: (k+1)^{1/a} - \int_k^{k+1}x^{1/a}dx > \frac{1}{a+1}((k+1)^{1/a}-k^{1/a}).
@884
3 жыл бұрын
おーーなるほど!これは面白いですね。 ありがとうございます。
@kanna7789
3 жыл бұрын
@@884 You are welcome!
@kanna7789
3 жыл бұрын
@@884 I just realized that my solution also has a geometric meaning, since the last step to verify the inequality that I wrote is to compare the slope of the tangent line at x=k, and that of the line connecting x=k and x=k+1. 😂
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