Word Count : 270

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क) हमें दिखाना है कि [ 1 + \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}} + \cdots + \frac{1}{\sqrt{n}} > 2\sqrt{n+1} - 2, \quad \forall n \in \mathbb{N}. ] सिद्ध करने के लिए, हम इंटीग्रल तुलना पद्धति का उपयोग कर सकते हैं। ध्यान दें कि (f(x) = \frac{1}{\sqrt{x}}) एक अवरोही फलन है। इंटीग्रल तुलना कहती है कि [ _____ _________ ___ ________ ______ _________ ____ ____ __________.
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