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Apr
20
answered Solve this recurrence relation
Apr
19
answered Sum of Square roots formula.
Apr
17
comment Proof of Frullani's Theorem
(+1), but why do you need $f$ to be monotone? It's enough for $g=f'$ to be continuous, which is what the OP wrote (continuously differentiable)
Apr
16
answered Radius of convergence of the series $ \sum\limits_{n=1}^\infty (-1)^n\frac{1\cdot3\cdot5\cdots(2n-1)}{3\cdot6\cdot9\cdots(3n)}x^n$
Apr
15
comment Continuity proof with epsilon-delta
This is a stronger condition, called Lipschitz continuous
Apr
15
answered How to integrate $(e^x + 2x)^2$?
Apr
14
comment Evaluate this finite product
multiply denominator and numerator by $(2n)!!$
Apr
14
comment Probability of intersection greater than product of probabilities?
No, it's true that $P( A \cap B) = P(A|B)P(B)$
Apr
14
comment Evaluate this finite product
I'm not sure I follow: $(2n+1)!! = 1 \cdot 3 \ldots (2n+1) = \prod_{k=0}^{n}(2k+1)$
Apr
14
answered Evaluate this finite product
Apr
14
comment Evaluate this finite product
is it product over $2n$ or $2n+1$?
Apr
14
answered Problem understanding the proof of a limit
Apr
10
revised Evaluate $\lim_{x\to\infty} \sqrt{x+\ln x}-\sqrt{x-\ln x}$
edited body
Apr
10
revised Evaluate $\lim_{x\to\infty} \sqrt{x+\ln x}-\sqrt{x-\ln x}$
edited title
Apr
10
comment Has this infinite sum $\sum _{i=1}^{\infty } p^i \log (b i+a)$ any known solution?
I think for $|p|<1$ it should converge (comparing to integral $\int_{1}^{\infty} t^x \log x dx$)
Apr
10
comment Has this infinite sum $\sum _{i=1}^{\infty } p^i \log (b i+a)$ any known solution?
If $|p|>1$ the sum diverges
Apr
10
comment Has this infinite sum $\sum _{i=1}^{\infty } p^i \log (b i+a)$ any known solution?
what does p stand fro?
Apr
10
answered Evaluate $\lim_{x\to\infty} \sqrt{x+\ln x}-\sqrt{x-\ln x}$
Apr
10
comment In probability, what does P(A-B) stand for?
are you sure it's not $A / B$?
Apr
9
answered Proving the summation of a function as big theta of another function