Zero factorial is one because n! = n-1! X n. For example: 4! = (4-1) X 4. If zero factorial was zero, that would mean 1! =(1-1) X 1 = 0 X 1=0. Then if 1!=0, then even 999! would equal zero. Therefore, zero factorial equals 1.
It's the concept of multiplicative identity, also called unity: for any number N, N x 1 = N.
Let the number be n. We have: 3 x 1/n = 9 x 1/6 (simplify) 3 x 1/n = 3 x 1/2, this is true only for n = 2.
3
It equals n(x+y) / x*y.
1*20 = 20 Thus n = 20
exactly...
When, in algebra, two letters are written next to each other as a term, such as m and n becoming mn, it means they are multiplied. So mn is a shorter way of writing "m times n" or "m x n"Therefore, when m = 1 and n = 1, mn = 1 x 1 = 1
Value of e:e = 2.71828 18284 59045 23536 (truncated to 20 decimal places)The formula for working out the value of e = 1/0! + 1/1! + 1/2! + 1/3! + 1/4! + 1/5! + 1/6! + ....The ! symbol means factorial.OR,e^x is the limit of the following series.1 + x/1! + x^2/2! + x^1/3! . . . +x^n/n!For x = 1, the limit is e. Hencee = Limit[ 1 + 1 + 1/2! + 1/3! . . . +1/n! ]
== == Cos2x - 1 = [1 - 2sin2 x] - 1 = - 2sin2 x; so [Cos2x - 1] / x = -2 [sinx] [sinx / x] As x approaches 0, sinx / x app 1 while 2 sinx app 0; hence the limit is 0.
1 x 18 = 2 x 9 = 3 x 6 = 18
Zero factorial is one because n! = n-1! X n. For example: 4! = (4-1) X 4. If zero factorial was zero, that would mean 1! =(1-1) X 1 = 0 X 1=0. Then if 1!=0, then even 999! would equal zero. Therefore, zero factorial equals 1.
Simple equation lad. In your example, you said n=4 and x= n squared + n - 1 + (n-2)squared + (n-3)squared. You simply write n²+n-1+(n-2)²+(n-3)² I hope that is what you mean by what you say. P.S. To get the to the power of sign, hold alt and press 0178 for ², and 0179 for ³
x = 15 - N.
Wrong answer above. A limit is not the same thing as a limit point. A limit of a sequence is a limit point but not vice versa. Every bounded sequence does have at least one limit point. This is one of the versions of the Bolzano-Weierstrass theorem for sequences. The sequence {(-1)^n} actually has two limit points, -1 and 1, but no limit.
It's the concept of multiplicative identity, also called unity: for any number N, N x 1 = N.
n = 5