Possible Duplicate: Prove 0! = 1 0! = 1 from first principles Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product …

Mar 28, 2022 · António Manuel Martins claims (@44:41 of his lecture "Fonseca on Signs") that the origin of what is now called the correspondence theory of truth, Veritas …

Dec 21, 2022 · You shouldn't think of either rule as setting different priorities for multiplication and division, or for addition and subtraction. You need to work left to right for these. PEMDAS = …

This is what I've been able to do: Base case: n = 1 n = 1 L. H. S: 13 = 1 L H S: 1 3 = 1 R. H. S: (1)2 = 1 R H S: (1) 2 = 1 Therefore it's true for n = 1 n = 1. I.H ...

Nov 29, 2013 · the Taylor series for ln (x) is relatively simple : 1/x , -1/x^2, 1/x^3, -1/x^4, and so on iirc. log (x) = ln (x)/ln (10) via the change-of-base rule, thus the Taylor series for log (x) is just …

Feb 14, 2018 · if you're worried that its negative, i think its okay, the denominator will be non-positive because x is a fraction. The negative in the numerator will cancel.

Mar 7, 2021 · I studying the proof that the Petersen graph is not Hamiltonian, and in the proof, they used an observation that seems intuitively correct but I want to provide rigorous proof for …

Jun 2, 2022 · Ok but the result ends up being the same, $u_ {xx} + u_ {yy}$ is never becoming zero since it is $\frac {x+y-1} {\sqrt {x^2 + (y-1)^2}}$

Apr 6, 2018 · You are describing the computation of the volume of a cylinder. But the logic is here

Aug 17, 2018 · if philosophy and psychology didn't exist, could humans be able to prove that we think and are capable of coming up with inventions, I mean we create things because we need …