533 reputation
17
bio website
location
age
visits member for 1 year, 10 months
seen 48 mins ago

40m
revised How to find $\lim_{x\to 0}\frac{\tan 3x}{\tan 5x}$?
All sin x cos x have been written as \sin x \cos x
43m
suggested suggested edit on How to find $\lim_{x\to 0}\frac{\tan 3x}{\tan 5x}$?
52m
comment Sum of $1+\frac{1}{2}+\frac{1\cdot2}{2\cdot5}+\frac{1\cdot 2\cdot 3}{2\cdot 5\cdot 8}+\cdots$
Can you please provide me any link where I can see such kind of examples so that it would be easier for me to clear my doubt? Thank you
15h
comment Sum of $1+\frac{1}{2}+\frac{1\cdot2}{2\cdot5}+\frac{1\cdot 2\cdot 3}{2\cdot 5\cdot 8}+\cdots$
The solution is really impressive. I never thought it would be such interesting. Just one thing to know, the third part in the first line is not clear to me. I mean, how did you arrive that $\prod\limits_{j=0}^k \frac{j+1}{3j+2}=k3^{-k} B(2/3, k)$ ?
15h
accepted Is Hom$(G_1, G_2)$ a group?
21h
accepted Sum of $1+\frac{1}{2}+\frac{1\cdot2}{2\cdot5}+\frac{1\cdot 2\cdot 3}{2\cdot 5\cdot 8}+\cdots$
22h
comment Sum of $1+\frac{1}{2}+\frac{1\cdot2}{2\cdot5}+\frac{1\cdot 2\cdot 3}{2\cdot 5\cdot 8}+\cdots$
please explain sir
22h
revised How many subsets of $\{1, 2, …, n\}$ contain $1$ and how many don't?
added 8 characters in body
22h
comment How many subsets of $\{1, 2, …, n\}$ contain $1$ and how many don't?
No. For example, suppose we have $A=\{1, 2, 3\}$. How many subsets of $A$ will be there containing 1? Note that these are $\{1\}, \{1, 2\}, \{1, 3\}, \{1, 2, 3\}$ which is $4=2^2=2^{3-1}=2^{|A|-1}$. How many subsets of $A$ will not contain $A$? Clearly they are $A-\{1\}\cup \{1, 2\}\cup \{1, 3\}\cup \{1, 2, 3\}$ which is in number equal to $2^3-2^2$. I hope I have made it clear to you now
22h
comment Sum of $1+\frac{1}{2}+\frac{1\cdot2}{2\cdot5}+\frac{1\cdot 2\cdot 3}{2\cdot 5\cdot 8}+\cdots$
@JackD'Aurizio I have no idea of this thing. Isn't it possible to do it in some other way? Please help me
22h
comment Sum of $1+\frac{1}{2}+\frac{1\cdot2}{2\cdot5}+\frac{1\cdot 2\cdot 3}{2\cdot 5\cdot 8}+\cdots$
Apologize I don't have much knowledge about that one. I want to solve it in simpler way, well, unless we don't have any other option left.
22h
comment Sum of $1+\frac{1}{2}+\frac{1\cdot2}{2\cdot5}+\frac{1\cdot 2\cdot 3}{2\cdot 5\cdot 8}+\cdots$
Is there any specific general technique for solving this kind of sum ?
22h
answered How many subsets of $\{1, 2, …, n\}$ contain $1$ and how many don't?
22h
asked Sum of $1+\frac{1}{2}+\frac{1\cdot2}{2\cdot5}+\frac{1\cdot 2\cdot 3}{2\cdot 5\cdot 8}+\cdots$
23h
comment Is Hom$(G_1, G_2)$ a group?
Thank you so much. Ya, I will do that. But you have given much more important information. thank you once again
23h
comment Bijection between $N^3$ and $N$
What is N^3? Did you mean $\mathbb N\times \mathbb N\times \mathbb N$ ?
23h
asked Is Hom$(G_1, G_2)$ a group?
1d
comment What is the determinant value of $J-I$ if $I$ is identity matrix and $J=(1)_{101\times 101}$?
Martin Sleziak, Claude Leibovici, Jyrki Lahtonen, Jack D'Aurizio, Davide Giraud thanks to all of you for sharing the link. That was really helpful.
1d
comment What is the determinant value of $J-I$ if $I$ is identity matrix and $J=(1)_{101\times 101}$?
I am trying. Lets see what comes next
1d
comment What is the determinant value of $J-I$ if $I$ is identity matrix and $J=(1)_{101\times 101}$?
Will it be possible to evaluate it manually ? After all, now we know that the answer is 100.