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 Dec5 answered expected value - two etaps Dec5 comment expected value - two etaps Likely, etaps means stages and eagle means tail. Dec5 answered Find $\lim_{x \to -8} \frac{\sqrt{1 - x} - 3 }{ 2 + \sqrt[3] {x}}$ Dec5 comment Find $\lim_{x \to -8} \frac{\sqrt{1 - x} - 3 }{ 2 + \sqrt[3] {x}}$ Do you know derivatives? can you use L'Hospital's rule? Dec5 revised Riccati differential equation added 2 characters in body Dec5 comment Find $\lim_{x \to -8} \frac{\sqrt{1 - x} - 3 }{ 2 + \sqrt[3] {x}}$ PLease exhibit your work on the problem and we will be glad to give some hints. How about expanding the root in the numerator into Taylor series around $x=1$? Dec5 answered Word Permutations Dec5 comment What am I doing wrong? (using the formula for lowering powers) @Cherry_Developer Because $\cos(4x)$ is one object, and also $-\cos(4x) \neq cos(-4x)$ Dec4 comment What am I doing wrong? (using the formula for lowering powers) @Cherry_Developer Exactly Dec4 answered Find the radius of convergence, R, of the series. and Find the interval, I, of convergence of the series. Dec4 revised Find the radius of convergence, R, of the series. and Find the interval, I, of convergence of the series. added 8 characters in body Dec4 answered What am I doing wrong? (using the formula for lowering powers) Dec4 comment Laplace transform involving two functions of t Also, if you are integrating in $dr$, $f(t),g(t)$ go outside of the integral. If you are integrating in $dt$ , you need to set $r = -s$, not $r=s$ as you suggest Dec4 comment Laplace transform involving two functions of t Depends what you want, wikipedia lists a pretty nasty identity for what you tried to do (en.wikipedia.org/wiki/Laplace_transform) Dec4 revised Laplace transform involving two functions of t edited title Dec4 comment Laplace transform involving two functions of t What are $f$ and $g$? What is the integral with respect to, $dt$ or $dr$??? Dec2 comment In a limit proof, what are the assumptions? @Amad27 Generally, to prove such things, you fix some arbitrary $\epsilon > 0$ and find the value of $\delta_2$, such that for any $x \in (a-\delta_2,a+\delta_2)$ you will have the desired inequality $||f(x)|-|L|| < \epsilon$. Dec2 revised How do I find the limits of integration? added 54 characters in body Dec2 answered In a limit proof, what are the assumptions? Dec2 comment Calculation of all positive integer $x$ for which $\displaystyle \lfloor \log_{2}(x) \rfloor = \lfloor \log_{3}(x) \rfloor \;,$ you likely want $\ln x$ in the last inequality?