how to show that the sequence converges to M?

Sea I:=(a,b) supongamos que f:I→R es continua y que f(x)≥0 para x∈R

si M:=supf(x):x∈I

Demostrar que la sucesión (∫ba(f(x))n)1n converge a M.

# Tag: Closed

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## combinatorics – Closed formula to $N:=sum_{j=0}^{k/2}left(begin{array}{c} n \ k-j end{array}right)left(begin{array}{c} k-j \ j end{array}right) $

I gave mysel the following

**Problem**: For $k$ even and $ngeq k$, can one find a closed formula for the sum

$$

N:=sum_{j=0}^{k/2}left(begin{array}{c}

n \

k-j

end{array}right)left(begin{array}{c}

k-j \

j

end{array}right)?

$$

At first, I thought that some sort of Vandermonde’s identity could solve this. Now I believe this is far from trivial, if possible at all. I want to make sure I am not mistaken.

## metric spaces – Continuous function takes discrete value on disjoint closed sets

Let $(X,d)$ be a metric space. $A,B$ be disjoint closed subsets of $X$. Then there must exists a continuous function $f$ on $X$, with $f(A)=0$, $f(B)=1$.

My idea is to take combination of distance function to $A, i.e$ $1-d(x,A)$. Then the function is continuous and take value 0 on $A$. But I got stuck how to take care of the values in $B$.

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I want to block users using IE 9 and below due to Bootstrap v4 support

How can I do this

I have tried IF IT statements, but it doesn’t work

## TERMINAL questions [closed]

https://github.com/jeremyduanewallace

TELL ME CAN YOU FIND THIS GITHUB ACCOUNT FOMYOUR TERMINAL WITHOUT USING A GUI ANDBIF SO WHAT WAS THE UTILITY YOU USED EMAIL ME

Who is this one ☝️ USA Liberty

## Perimeter and area [closed]

enter image description here

Would anyone be able to help me find the area and perimeter of these irregular shapes?

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How does google offers questions and answers for specific sites like this?