1. Show that 2. Prove that Vn 3. Show that 2 n √2 is irrational. i=1 2 VI 2 I 4 the inequality 2
Computer Language Theory
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What is Mathematical Induction:
A method for establishing facts or proving conclusions about natural numbers is mathematical induction. In essence, it is employed to demonstrate that a claim is true for all natural numbers. An inductive proof requires two cases. The first, or base case, establishes the proposition that n = 0 without requiring any prior knowledge of other situations. The second example, the induction step, demonstrates that if the assertion is true for any particular case where n = k, then it must also be true for the subsequent case when n = k + 1. These two actions prove that the statement is true for all n=1 natural numbers.
To Prove:
We show that .
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