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I meant for uniform convergence, this must hold ##\lim _{n→∞} sup |f_n (x) - f(x) | =0## and in our case, ##\lim _{n→∞} sup |f_n (x)...

Thanks @WWGD , getting analysis slowly, in any case analysis is not that difficult as i had earlier thought, ... For uniform convergence...

An example where not all points in a sequence of functions will converge to a continuous function is ##x^n; n=1,2,.. ; x \in [0,1]##...

clearer now, For ##f(x)=x^n ## on ##[0,1]## three cases to consider. Case 1 consider ##0 ≤x <1## ##x^n → 0, ∀ 0 ≤x <1 ## further...

My brother was practicing backstage with Bill Monroe at a bluegrass festival in 1967, to which Porter Wagoner had also been invited...

American icon known for her music, acting and philanthropy has died on August 25 following a recent diagnosis of cancer...

|f(x)|<M for all M>0 forces f==0. Consider a sequence decreasing to 0( Edit) monotonically, say {1/n} Then -1/n <f(x)<1/n will squeeze...

the main rule for changing quantifiers is how to form the negation of a statement. to do that you change every existential one into a...

I am a math graduate who self-studied physics. My suggestion is a little bit different. I found the following text a cheap, easy read...

This is related to the Basel Problem. Starting from there, you can separate the odd and even terms, then note that the even terms are...

Maybe overdoing it here, or being thick " Rainman: style, but how can you decide when words are different beyond a literal sense: are...

I told my wife about this IQ thread and she reminded me of an experience with one of our kids. The IQ tester asked him (at age 4 or 5...

hang in there mr.cheeto. and make sure those books are there for your family.

Thanks for motivating me look this up. It seems Ramanujan's first two attempts at wider recognition were via letters in late 1912 to...

I do sometimes enjoy taking tests, but my goal was to earn a PhD. After that sitting, UWa offered me a fellowship. Test taking can be...