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Not sure what else 1 to the power of infinity is supposed to mean. Concyclic Points: Definition & Proofs It only takes a minute to sign up.Why is it that e raised to the power of negative infinity would equal 0 instead of negative infinity? And now you can easily find your answer, which, as you can see, is simply: Why is this answer not 1? Enrolling in a course lets you earn progress by passing quizzes and exams. Anybody can ask a question

\\ I've been taught that $$1^\infty$$ is undetermined case. Also $e^{\infty} = \infty$ and $e^{-k}= \dfrac{1}{e^k} \Rightarrow e^{-\infty} = \dfrac{1}{\infty}= 0$Thanks for contributing an answer to Mathematics Stack Exchange!

CAHSEE Math Exam: Help and Review 6:49 !Without calculus, we are limited in the ways to define $\log(x)$. In both cases the fraction involving n becomes infinitely small and the power becomes infinitely big, which means they are both of the form 1∞.

I put a note (*) next to one step I am uneasy about. Holt McDougal Algebra 2: Online Textbook Help 7:27 Finding the Maclaurin Series for Cos(x) At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself. To take the derivative of your numerator, you apply the derivation rules for the natural log along with the chain rule and the rule for finding the derivative of two functions that are divided.

Why is it so? What does [itex]1\cdot 1\cdot \ldots[/itex] mean exactly? Doing this sets up your problem so you can apply L'Hopital's Rule. &=\lim_{x\to a}\log\left(f^g\right)\\[6pt] )?Good explanation of limit as n->infinite to a beginner!It is not rigorous. 4:43

Taylor Series for sin(x): How-to & Steps When e is raised to the power negetive infinity , it tends towards a very small number and hence tends to zero. Accuplacer Arithmetic Test: Practice & Study Guide It only takes a minute to sign up.I would appreciate it if somone could give me a proof of this formula.I believe this is where the identity is coming from.\begin{align} Some examples: lim(1 + (1/n)) n as n -> ∞ = e lim(1 + (1/n 2)) n as n -> ∞ = 1. Finding the Integral of csc(x)

Finding the Equation of a Plane from Three Points (Phrase $\lim r^s$ as $\lim \exp(s \log r)$, and use that the limit of a product is the product of the limits. \lim \limits_{x \to a} f^g = e^{\lim \limits_{x \to a} g*log[1+ (f-1)]}

But notice that we know the denominator of the exponent will not, however small, ever by zero, so that the exponent is of the form 0/b with b non-zero.

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You need a more concrete answer and it's not as simple as taking 1 to the infinity power. &= e^{\lim_{x\to a}g(f-1)} But just because this problem gives you an answer of 1, it doesn't mean that your 1 to infinity situation will always equal 1. ACT Math Prep: Review & Practice \end{align}Now, since $f \to 1$ when $x \to a$, all the subsequent terms in the expansion involving $(f-1)$ will become zero and the expression becomes:$$\lim \limits_{x \to a} f^g = e^{\lim \limits_{x \to a} g*(f-1)}$$Some limits are indeterminate because, depending on the context, they can evaluate to different ends. The principle root of a positive number raised to any real power (positive or negative) is positive.