For all x not equal to 0, -x/x = -1
1
The indefinite integral of (1/x^2)*dx is -1/x+C.
2-dimensional Cartesian space is naturally split into four quadrants, with one quadrant defined by x>0, y>0; one defined by x<0, y>0; one defined by x<0, y<0; and, one defined by x>0, y<0.
(3x2 - 6x)/3x = 3x(x-2)/3x = x-2, for x<>0
Anything divided by 0 is UNDEFINED thus its not possible e.g. x/0 = undefined x= any number
For all x not equal to 0, -x/x = -1
You can use the L'hopital's rule to calculate the limit of e5x -1 divided by sin x as x approaches 0.
x ∈ C, x ≠ 0
1
0
Any number divided by itself equals 1. ex: 24 / 24 = 1 and 2,154,378,549,215,044.32158 / 2,154,378,549,215,044.32158 = 1. 0 divided by 0 is not defined, although one could define it as the limit as x approaches 0 of x/x and that is 1.
4
The quotient of x/x = 1, unless x = 0, in which case it is undefined.
6 - 1 x 0 = 6 2 divided by 2 = 1 You have not put an operation in the middle
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2x + 4 = 6/x - 3 ∴2x - 6/x + 7 = 0 ∴2x2 + 7x - 6 = 0 X ∈ {0.71221447, -4.2122145}