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Thread: induction

  1. MHB Apprentice

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    #1
    Hello

    is my proof be correct ?

    I wish to prove by induction that ${\psi}_{n}(x)\le F(n)$ , $x\in[a,b]$ ......... (1)

    Let there exists a function $f(x,n)$ such that if ${\psi}_{n}(x)\le f(x,n) $ then ${\psi}_{n}(x) \le F(n)$ .

    I know that (1) is true for $n=1$ i.e. ${\psi}_{1}(x)\le f(x,1)\le F(1)$ ,

    and I was able to prove that

    ${\psi}_{n+1}(x)\le F(n+1)$ , $x\in[a,b]$

    would this implies ${\psi}_{n}(x)\le F(n)$

    thanks

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  3. MHB Master
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    #2
    Quote Originally Posted by sarrah View Post
    I wish to prove by induction that ${\psi}_{n}(x)\le F(n)$ , $x\in[a,b]$
    Please provide the definitions of $\psi_n$, $F$, $a$ and $b$.

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