Understanding the Behavior of 1/x as x Approaches Negative Infinity

1/x, när x -> -∞

When x approaches negative infinity (-∞), the function 1/x can be evaluated as follows:

As x approaches negative infinity, the value of 1/x becomes increasingly negative

When x approaches negative infinity (-∞), the function 1/x can be evaluated as follows:

As x approaches negative infinity, the value of 1/x becomes increasingly negative. This can be understood by considering the behavior of the reciprocal function, 1/x.

As x gets larger (in this case, increasingly negative), the value of the reciprocal, 1/x, gets closer to zero, but negatively. This means that as x approaches negative infinity, the value of 1/x approaches negative zero, or simply zero with a negative sign.

So, when x approaches negative infinity, the value of 1/x tends to negative zero. Symbolically, we can express this as:

lim(x→-∞) 1/x = 0- or just -0 (negative zero)

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