Well, 0! (the mathematical sign for "factora") is actually 0 itself.
... So that leads us to the question "Is 1 equal to 0?"
Although many people have tried to make proof that this is true, it's not.
The only way that I can disprove this is that 0+0=0, and 1+1=2.
If 0 really did equal 1, then it would also equal 2 (1+1). With that being said, all numbers would then equal 0.
So this pattern would include numbers like pi, 5.7892, 0.75, and every other decimal. HOWEVER, this is NOT possible because, for example, 0.75 (which supposedly equals 0) can be converted to the fraction 3/4.
Any fraction just simply means *numerator* divided by *denominator*. So, if 0=3&4, the fraction is really 0/0 (which means 0 divided by 0). It is absolutley IMPOSSIBLE to divide by zero.
So, no. 0! does not equal 1.
Chat with our AI personalities
Partly convention. It helps to maintain the identity
N! = N*(N-1)! for N = 1.
The convention also maintains consistency with the definition of the Gamma function.
the first one is:(0!+0!+0!)!=6Because 0!=10!+0!+0!=3and 3!=6Just use factorial(1+1+1)! = 63 Factorial = 62+2+2 = 6So Simple(3*3)-3 = 6Also SimpleSqrt(4) + Sqrt(4)+ Sqrt(4) = 6Sqrt(4) = 2So 2+2+2 =65+(5/5) = 6So Simple6+6-6 = 6Its quite simple7-(7/7) = 6Cuberoot(8) + Cuberoot(8) + Cuberoot(8) = 6Cuberoot(8) = 2Using the phrase "Cuberoot" is not allowed. This written as a mathematical sign viz. ³√x . This involves the number 3 which is not permissible. Since you have correctly solved for 0 and 1 it should be relatively easy to solve for 8. All your other answers are spot on although my cousin's answer for 8 was (cos((d/dx)(8))+cos((d/dx)(8))+cos((d/dx)(8))) = 6 which is correct but way far more complicated than the simpler answer that you should be looking for.(Sqrt(9) * Sqrt(9)) - Sqrt(9) = 6Sqrt(9) = 3(3*3)-3 = 6
0. There are 9 multiples of 10 between 1 and 99, so 99 factorial is divisible by at least the 9th power of 10. Therefore the last 9 digits are 0.
/*program to calculate factorial of a number*/ #include<stdio.h> #include<conio.h> void main() { long int n; int a=1; clrscr(); printf("enter the number="); scanf("%ld",&n); while(n>0) { a*=n; n--; } printf("the factorial is %ld",a); getch(); }
AnswerNot sure what your definition of factorial is. But with the usual definition, the sum is,0!+1!+2!+3!+4! ... = 1+1+2+6+24+.... = Ei(1)/e = .69...where Ei is the exponential integral function and e is Euler's number. You can compute a few terms to see how it converges :)To generate the sum of the factorial series nearly as fast the last factorial,1+1+2+6+24+... = 1+1(1+2(1+3(1+...+14(1+15)...)))The answer is 120.Answer 2If interpreted as (1+2+...+15)! the answer would be:6.6895029134491270575881180540903725867527463331380298... x 10^198
4x2-4x-3=0 can be written as (2x-3)(2x+1)=0 Anything times by 0 equals 0 ( the zero property of multiplication) therefore we need to make each one of these terms in brackets equal to 0. so 2x-3=0 giving x=3/2 and 2x+1=0 giving x=-1/2