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Harmonic Number (Starting from an AMC problem) (1)
The -th Harmonic number, denoted is defined by the sum of the reciprocals of the first natural numbers: This number has quite interesting properties. On thing we could consider when is finite is the quotient of the sum. If we write it as Then many problems raise. Here, we have a problem […]
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Zendesk vs Intercom: Which is better?
Zendesk Support app Help Center Also, it’s the pioneer in the support and communication tools market. You can always count on it if you need a reliable customer support platform to process tickets, support users, and get advanced reporting. Combining these two powerhouses improves the management of customer tickets and support inquiries. Intercom transforms Zendesk […]
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An inequality problem
Let be a continuous integrable real function on , then Solution 1 By Cauchy-Schwarz inequality, Solution 2 By Jensen’s inequality, since is a convex function, we have So Solution 3 By Hölder’s Inequality, we get Choose , we get the case of solution 1. We […]
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Harmonic Number (Starting from an AMC problem) (1)
The -th Harmonic number, denoted is defined by the sum of the reciprocals of the first natural numbers: This number has quite interesting properties. On thing we could consider when is finite is the quotient of the sum. If we write it as Then many problems raise. Here, we have a problem…