मान लीजिए कि . दर्शाइए कि

Question

मान लीजिए कि $a, b > 0, a + b = 1, n > 1$ . दर्शाइए कि $\left(a + \frac{1}{a}\right)^n + \left(b + \frac{1}{b}\right)^n \geq \frac{5^n}{2^{n-1}}$

09 Jan 2026

Answer :

Word Count : 176

मान लीजिए (a, b > 0), (a+b=1) और (n>1)। हमें दिखाना है कि: [ \left(a + \frac{1}{a}\right)^n + \left(b + \frac{1}{b}\right)^n \ge \frac{5^n}{2^{,n-1}}. ] सबसे पहले, ध्यान दें कि ______ _________ _____ __________ ____ ________.
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