The Limit of e raised to the power of negative infinity | Approaching Zero in the Exponential Function

e^(-inf)

In mathematics, e is the base of the natural logarithm, also known as Euler’s number

In mathematics, e is the base of the natural logarithm, also known as Euler’s number. The value of e is approximately 2.71828. When we raise e to the power of a number, it represents the exponential function.

Now, considering the expression e^(-inf), the “-inf” indicates negative infinity. Infinity, in mathematics, symbolizes an unbounded or limitless quantity. Negative infinity, as the name suggests, signifies an infinitely large negative number.

When we take e raised to the power of negative infinity, e^(-inf), we can approach this in a limit sense. As the exponent approaches negative infinity, the value of e^(-inf) tends to zero. In other words, the exponential function with a negative infinity exponent diminishes exponentially until it becomes infinitesimally close to zero.

To summarize, e^(-inf) equals 0 in limit or asymptotic terms.

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