Loser66
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Questions Asked

Loser66:
Group Title
\(\forall n\in\mathbb N\) \(C_n= \dfrac{1}{n+1}\left(\begin{matrix}2n\\n\end{matrix}\right)\)
Prove that \(C_{n+1}=\left(\begin{matrix}2n\…
 updated 12 hours ago
 5 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
what is 4 choose 3,1,1?
 updated 16 hours ago
 7 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
What is different between them? question 15 and 16 and their answer. Please, help
 updated 7 days ago
 3 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Derivative checking
Find derivative \(\dfrac{x}{x+(c/x)}\)
Need help on figure out the mistake
 updated 14 days ago
 12 replies
 3 Medals
Mathematics

Loser66:
Group Title
Glenn invested $18,000 at 5% interest compounded annually.
How much interest will Glenn earn in 3 years?
…
 updated 17 days ago
 23 replies
 1 Medal
Mathematics

Loser66:
Group Title
What does it mean? Please, explain me
 updated 23 days ago
 11 replies
 1 Medal
Mathematics

Loser66:
Group Title
What does it mean?
…
 updated 23 days ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Suppose the series \(\sum_{n=1}^\infty a_nx^n\) converges for x =3 and diverges for x =5
a) What can you conclude about the radius of conv…
 updated one month ago
 19 replies
 1 Medal
Mathematics

Loser66:
Group Title
Find the radius of
\[\sum_{n=0}^\infty 3^n x^{n!}\]
Please, help
 updated one month ago
 58 replies
 4 Medals
Mathematics

Loser66:
Group Title
Suppose \([a,b]\subset \large \cup^{\infty}_{k=1} I_k\) .
a) Show that \( \exists n\in \mathbb N\) such that \([a,b]\subset \large\cup^\n_{…
 updated one month ago
 4 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Find the radius of converges of \[\sum_{n=1}^\infty n^nx^{n^2}\]
Please, help
 updated one month ago
 21 replies
 2 Medals
Mathematics

Loser66:
Group Title
How to prove \(\{1,\sqrt 2,\sqrt 3,\sqrt6\}\) form a basis? In other words, they are all linearly independent.
Please, help.
 updated one month ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Find the Jacobian formula for
f(x,y)= sin (x^2+y^3)
Please, help. Formula only
 updated one month ago
 20 replies
 1 Medal
Mathematics

Loser66:
Group Title
Ratio test question: if I have a series and I have to apply ratio test to consider whether it converges or not, does it matter if I switch t…
 updated one month ago
 8 replies
 2 Medals
Mathematics

Loser66:
Group Title
Converge or diverge?
\[\sum_{n=1}^\infty \dfrac{log(n+1)log n}{tan^{1}(2/n)}\]
Please, help
 updated one month ago
 6 replies
 1 Medal
Mathematics

Loser66:
Group Title
What is difference between them?
\(\sum_{n=0}^\infty \dfrac{n^n}{n!}x^n\) and \(\sum_{n=1}^\infty \dfrac{n^n}{n!}x^n\)
I have to find the r…
 updated one month ago
 40 replies
 3 Medals
Mathematics

Loser66:
Group Title
Find the radius of \[\sum_{n=1}^\infty \dfrac{(3)^n}{n^3}x^n\]
Please help
 updated one month ago
 4 replies
 1 Medal
Mathematics

Loser66:
Group Title
Give an example of a function defined on \(\mathbb R\) , which is continuous everywhere and fails to be differentiable at exactly n given po…
 updated one month ago
 35 replies
 3 Medals
Mathematics

Loser66:
Group Title
Need help to understand the concept. Theorem 1.2 on attachment. Please help
 updated one month ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Converge or diverge? \(\alpha >0, \alpha \in \mathbb R\)
\[\sum_{n=1}^{\infty} sin (n^{\alpha})\]
 updated one month ago
 10 replies
 3 Medals
Mathematics

Loser66:
Group Title
Suppose f(x) is continuous on [a, b] except at a point in (a, b) at which f(x) has a jump discontinuity. For x in (a,b), set \(F(x) = \int _…
 updated one month ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Converge or diverge?
\[\sum_{n=1}^\infty sin(n^{\infty})\]
Please, help
 updated one month ago
 1 reply
 No Medals Yet
Mathematics

Loser66:
Group Title
Converge or diverge?
\[\sum_{n=0}^\infty \dfrac{\sqrt{n+1}}{n^23n+1}\]
Please, help
 updated one month ago
 48 replies
 4 Medals
Mathematics

Loser66:
Group Title
Converge or diverge?
\[\sum_{k=0}^\infty \dfrac{\sqrt{n+1}}{n^23n+1}\]
please, help
 updated one month ago
 No Medals Yet
Mathematics

Loser66:
Group Title
Suppose \(f(x)\leq M\) for all \(x\in[a,b]\). For \(x\in[a,b]\) set \(F(x)=\int_a^x f(t)dt\). Show that F(x) is continuous on [a,b]
Pleas…
 updated one month ago
 24 replies
 2 Medals
Mathematics

Loser66:
Group Title
Please help
Prove nth root of 2 is irrational (n>= 2)
 updated one month ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Question on comment
 updated one month ago
 19 replies
 1 Medal
Mathematics

Loser66:
Group Title
Question in comment
 updated one month ago
 54 replies
 2 Medals
Mathematics

Loser66:
Group Title
Consider [0, 1] =[0,1/n] union [1/n,1]
if \(\dfrac{1}{n}=x_0\)
\(\dfrac{1}{n}+\dfrac{1}{n^2}=x_1\)…
 updated one month ago
 4 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Evaluate
\[\int_A dxdy \] where A is a triangle in \(\mathbb R^2\) bounded by the line x =0, y=0, x+y=1
Please, help
 updated one month ago
 1 reply
 No Medals Yet
Mathematics

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