Quick Answer: What Is E To The Infinite Power?

What is e to the power?

ex is the exponential function with a rate of change proportional to the function itself is expressible in terms of the exponential function; where e is the number also called as Napier’s Number and its approximate value is 2.718281828.

x is the power value of the exponent e..

Why is 1 to the Power Infinity indeterminate?

In the literature of mathematics, the exact value for anything is defined with its limit. The limit from the left hand side must be equal to the limit from the right hand side. … This makes the value of 1 to the power of infinity still indeterminate.

Can you raise e to a negative power?

To start, your answer is e^(-x) or exp(-x) is equal to 1/(e^x) or 1/exp(x). … In our case, this means, (1/x)^k, where the exponent can be brought inside the parentheses to make (1^k)/(x^k), and since 1^k = 1, it is just 1/(x^k).

What is the value of E Power 0?

1Value of e to power zero is e is equal to 1.

Is e ever negative?

e is a positive number. … any real positive number with any power can not be negative. you can see the graph or if u have some knowledge of logarithms than u must be knowing that logx is never defined on -ve values of x. because any +ve real number can never be made negative by any power.

Is LN Infinity Infinity?

The answer is ∞ . The natural log function is strictly increasing, therefore it is always growing albeit slowly. The derivative is y’=1x so it is never 0 and always positive.

Why do we use e?

e is the base rate of growth shared by all continually growing processes. e lets you take a simple growth rate (where all change happens at the end of the year) and find the impact of compound, continuous growth, where every nanosecond (or faster) you are growing just a little bit.

What is E in Excel?

The Excel EXP function returns the result of the constant e raised to the power of a number. The constant e is a numeric constant relating to exponential growth and decay whose value is approximately 2.71828. The EXP function is the inverse of the LN (natural logarithm) function.

Can e to the power of anything be zero?

Since the base, which is the irrational number e = 2.718 (rounded to 3 decimal places), is a positive real number, i.e., e is greater than zero, then the range of f, y = f(x) = e^x, is the set of all POSITIVE (emphasis, mine) real numbers; therefore, e^x can never equal zero (0) even though as x approaches negative …

What is E to zero?

Any number raised to zero is one. Zero is neither positive nor negative so the minus sign before it is redundant. e is constant quantity(roughly equal to 2.71) and when raised to the power 0 it results in 1 as the answer.

What is E equal to?

The number e, known as Euler’s number, is a mathematical constant approximately equal to 2.71828, and can be characterized in many ways.

Is e always positive?

See, e is a positive number which is approximately equal to 2.71828. So e to the power anything ( be it a fraction,decimal,negative integer,positive integer,etc.) can be expressed as such that the value is always positive.

What is e to the power of negative infinity?

Zero. e raised to negative infinity is 1/e raised to infinity. That’s 1/infinity which is zero.

Is E to the infinity indeterminate?

Since,the value of x is unknown to us(infinity is not any constant),the answer to your question will be undefined. limit x -> infinity of e^x does not exist, as the value becomes arbitrarily large for large enough values of x.

Why is 0 to the power indeterminate?

When calculus books state that 00 is an indeterminate form, they mean that there are functions f(x) and g(x) such that f(x) approaches 0 and g(x) approaches 0 as x approaches 0, and that one must evaluate the limit of [f(x)]g(x) as x approaches 0. In fact, 00 = 1! …