Understanding the Behavior of the Function (1/x) as x Approaches 0 from the Positive Side

lim x->0+ (1/x)

The given expression is a limit expression and it represents the limit of a function as x approaches 0 from the positive side

The given expression is a limit expression and it represents the limit of a function as x approaches 0 from the positive side. Let’s analyze the behavior of the function (1/x) as x approaches 0-positive (x→0+).

As x approaches 0 from the right side (i.e., x→0+), the values of x become smaller and smaller, approaching zero. Now, let’s consider the variation of (1/x) as x approaches 0+.

When x is positive and very close to 0, (1/x) becomes very large, approaching infinity. This can be understood by considering that when dividing a number by an exceptionally small positive number (very close to zero), the result becomes incredibly large.

So, as x→0+, (1/x) → +∞.

In other words, the limit as x approaches 0 from the positive side of (1/x) is positive infinity, or formally written as:

lim x→0+ (1/x) = +∞

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