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Jul
8
awarded  Notable Question
Feb
11
comment Sequence $a_{n+1}=\sqrt{1+\frac{1}{2}a_n^2}$
Some who doesnt know the master theorem is there an alternative solution ?
Feb
10
comment Sequence $a_{n+1}=\sqrt{1+\frac{1}{2}a_n^2}$
the problem isnt for a_{n+1) -2 but for first n=1
Feb
10
comment Sequence $a_{n+1}=\sqrt{1+\frac{1}{2}a_n^2}$
for which one ?
Feb
10
asked Sequence $a_{n+1}=\sqrt{1+\frac{1}{2}a_n^2}$
Feb
5
accepted Calculate this limit $\lim_{n\to \infty } \, \frac{(-1)^n \left(n^2 \sin (n)+2 n\right)}{{n^2}+3}$
Feb
5
comment Calculate this limit $\lim_{n\to \infty } \, \frac{(-1)^n \left(n^2 \sin (n)+2 n\right)}{{n^2}+3}$
It seems it doesnt however problem asks to be found. So I guess I have to proove that it doesnt exist
Feb
5
asked Calculate this limit $\lim_{n\to \infty } \, \frac{(-1)^n \left(n^2 \sin (n)+2 n\right)}{{n^2}+3}$
Feb
5
comment Integral $\int{\frac{x^5}{\sqrt{x^2+7}}}dx$
after posting this I though of using this transform. I am trying it now..
Feb
5
asked Integral $\int{\frac{x^5}{\sqrt{x^2+7}}}dx$
Feb
4
accepted Evaluating $\int{\frac{1}{\sqrt{x^2-1}(x^2+1)}dx}$
Feb
4
comment Integal $\int\left(\sqrt{4-9x^2}\right)^3 dx$
I had this in mind but seemed complex. Maybe there other substitutions too.. (initial)
Feb
4
asked Integal $\int\left(\sqrt{4-9x^2}\right)^3 dx$
Feb
3
comment Limit of sequence 3
It seems that taking root test for series works. Do root test and take $7^n$ out .Then limit to ifninity of $\sqrt[n]{1+n/7^n}$ should be 1.
Feb
3
revised Evaluate $(1-\frac1{2^2})(1-\frac1{3^2})\ldots(1-\frac1{2015^2})$
added 65 characters in body
Feb
3
awarded  Teacher
Feb
3
comment Integral proof $I_n=\int\frac{x^n}{\sqrt{x^2+5}} \, dx$
SebiSebi suggestion helped me to solve it
Feb
3
answered Evaluate $(1-\frac1{2^2})(1-\frac1{3^2})\ldots(1-\frac1{2015^2})$
Feb
3
awarded  Critic
Feb
3
comment Integral proof $I_n=\int\frac{x^n}{\sqrt{x^2+5}} \, dx$
its a everywhere