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May
14
comment How to prove this logarithm equation?
@TimKrul, See proofwiki.org/wiki/Laws_of_Logarithms
May
14
answered Find $x$ and $y$
May
14
comment How can I prove inequality?
$$\dfrac{x+1+y+2+z+3}3\ge\sqrt[3]{(x+1)(y+2)(z+3)}$$
May
14
answered what is remainder when $(((3!)^{5!})^{7!})^{9!…}$ is divided by 11
May
14
comment Finding the value of a trigonometric equation
@You-know-me, Related : math.stackexchange.com/questions/11246/…, math.stackexchange.com/questions/578286/…
May
14
comment Establishing the Trigonometric Idenitity
Use $$\sin^2\theta+\cos^2\theta=1$$
May
13
comment Extracting real and imaginary numbers from a complex number
@columbus8myhw, Do you mean $n=0$?
May
13
revised How to prove this logarithm equation?
added 92 characters in body
May
13
answered How to prove this logarithm equation?
May
13
comment Extracting real and imaginary numbers from a complex number
@DinRevah, $$\dfrac{x+iy}n=\dfrac xn+i\dfrac yn$$ for $x,y,n$ are real numbers
May
13
answered Evaluating natural limit
May
13
answered Extracting real and imaginary numbers from a complex number
May
13
answered $ \lim_{n\to\infty} \sum_{k=1}^{n} \frac{1}{4n - \frac{k^2}{n}} $ appears to disagree with $\int_0^1 \frac{dx}{4-x^2}$
May
13
comment Find the sum $\sum_{k=1}^n k(k+1)2^k$
For $$\sum 2^k(a_0+a_1k+a_2k^2)$$ should we start with $$2^k(b_0+b_1k+b_2k^2)$$ ?
May
13
comment Find the sum $\sum_{k=1}^n k(k+1)2^k$
How to find the initial form of $f(k)$. For example what if the summation were $$\sum_{k=1}^nk(4+k)2^k$$
May
13
answered Find the sum $\sum_{k=1}^n k(k+1)2^k$
May
13
answered $\lim_{x\rightarrow0}\frac{\ln\cos2x}{\left(2^{x}-1\right)\left(\left(x+1\right)^{5}-\left(x-1\right)^{5}\right)}$
May
13
comment Find the limit $\lim_{n\rightarrow\infty}\sum_{k=1}^{n}\frac{1}{k+n}$
@Mirak, Observe that extracting $1/n$ gives us $f(k/n)$
May
13
answered Find the limit $\lim_{n\rightarrow\infty}\sum_{k=1}^{n}\frac{1}{k+n}$
May
11
answered How do I differentiate $\cos^2 (2x)?$