Singularity
Classical Mechanics
Level
2
This is the equation for the force of gravity relative to the distance between the two masses. The variable d is the variant, the constant G = is the gravitational constant (6.676*10^-11). Assume that the m's are the constant masses of any two objects.
Undefined
233
0
∞
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1 solution
Normally k / x is undefined at the limit of x approaches 0. This is so because the left limit and the right limit do not equal each other as the left limit approaches negative infinity and the right limit approaches infinity. In order for a limit to exist the left and right limits must equal each other or in other words approach the same thing. In the case of this equation however the left and right limit are equal as the both approach the same thing. They both equal infinity which means that the limit of this function as d approaches 0 is infinity. Now think about what this means in the context of the equation. Please comment your thoughts on the meaning of this in the context of the function.