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quartz's user avatar
quartz's user avatar
quartz
  • Member for 12 years, 4 months
  • Last seen more than 6 years ago
20 votes

How I can prove that the sequence $\sqrt{2} , \sqrt{2\sqrt{2}}, \sqrt{2\sqrt{2\sqrt{2}}}$ converges to 2?

7 votes

Find the maximum value of the product xyz?

6 votes

Proving $\sum_{k=1}^n k\cdot k! = (n+1)!-1$ without using mathematical Induction.

5 votes

Why everytime the final number comes the same?

4 votes

Proving that a natural number is divisible by $3$

4 votes
Accepted

probability of sequential events

3 votes

Variation of a "Who is Lying" Question

3 votes

How to prove $\lim_{n\rightarrow \infty} {a^n \over n!}=0$

2 votes

Integration with infinity: $\int_4^\infty f\,'(x)e^{-x/4}\, dx$

2 votes

How does $(x_n - \sqrt{2})^2/(2x_n ) \geq 0$ mean $x_n \geq \sqrt{2}$ when $x_1=1$?

2 votes
Accepted

Approximation with 1-exponential

1 vote

Proving that $x^n$ converges to $0$ whenever $|x| < 1$

1 vote
Accepted

Validation of partial sum $\sum _{i=1}^{i=n}\frac {x} {\left( \left( i-1\right) x+1\right) \left( ix+1\right) }=1-\frac {1} {nx+1}$

0 votes

Working out the "best" score based on quantity and ratio

0 votes

Sequence and series question. Condition for $x_n$ to be an integer

0 votes

How do these cross products work

0 votes

Altering the center of mass with an iterative process