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Prove √n < 1/√1 + 1/√2 + … 1/√n, for all natural numbers n ≥ 2.
Prove √n < 1/√1 + 1/√2 + … 1/√n, for all natural numbers n ≥ 2.
CBSE | Class 11 | Maths | NCERT Exemplar | Principle of Mathematical Induction
Prove √n < 1/√1 + 1/√2 + … 1/√n, for all natural numbers n ≥ 2.

As per the inquiry,

NCERT Exemplar Solutions Class 11 Maths Chapter 4-2

\[\Rightarrow P\left( k+1 \right)\] is valid when P(k) is valid.

Along these lines, by Mathematical Induction,

\[\surd n\text{ }<\text{ }1/\surd 1\text{ }+\text{ }1/\surd 2\text{ }+\text{ }\ldots \text{ }1/\surd n\] , for all normal numbers \[n\text{ }\ge \text{ }2\]

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