حل limit (as x approaches 0) of left(x^xright) | Microsoft Math Solver

الموضوعات

حاسبة الجبر

حاسبة الجبر

حاسبة الجبر

حاسبة حِساب المثلثات

حاسبة حِساب المثلثات

حاسبة حِساب المثلثات

حاسبة التفاضل والتكامل

حاسبة التفاضل والتكامل

حاسبة التفاضل والتكامل

حاسبة المصفوفة

حاسبة المصفوفة

حاسبة المصفوفة

تقدير القيمة

1

Tick mark Image

اختبار

5 من المسائل المشابهة لـ :

x \to 0 lim (x^{x})

مسائل مماثلة من البحث في الويب

Complex analysis vs Real Analysis of

lim_{x \to 0} x^{x}

https://math.stackexchange.com/q/1914444

In the complex plane

z^{z}

is uniquely defined when

z = n \in Z^{*}

(i.e. a non-zero integer) and only for those. First note that any two definitions of

w^{'}

w

z^{z}

z \neq = 0

lim_{x \to 0} x^{0}

https://math.stackexchange.com/questions/1080362/what-is-lim-x-rightarrow-0-x0

lim_{x \to 0} x^{0} = 1

a^{0} = 1

a \neq = 0

. But with the limit, we are considering the neighborhood of

0

0

lim_{x \to 0^{+}} x^{x} = exp (lim_{x \to 0^{+}} x lo g x) = L exp (0) = 1 .

lim_{x \to 0} x^{2}

and x intersected the limit?

https://www.quora.com/What-if-lim_-x-rightarrow-0-x-2-and-x-intersected-the-limit

I think you are a little confused by the value of a function at a point and the limit at this point. For a continuous function (which is most functions you care about at your level) these are the same ...

What is the value of

lim_{x \to 0} x^{i}

https://math.stackexchange.com/questions/228996/what-is-the-value-of-lim-x-to-0-xi

By definition, for

x > 0

x^{i} = e^{i l n x} = cos (ln x) + i sin (ln x)

x

ln x

- \infty

∣ x^{i} ∣ = 1

x > 0

, the argument of

x^{i}

lim_{x \to 0} x^{x} = 1

by subsequence convergence

https://math.stackexchange.com/q/1657409

IMHO the difficulty in answering this question is knowing what methods you are "allowed" to use. If the Sandwich (Pinching, Squeeze) Theorem is allowed,

2^{n} > n^{2}

n > 4

(easy induction proof) so ...

Intuition for why

\int_{0}^{1} x^{- p}

0 < p < 1

converges, even though

lim_{x \to 0} x^{- p}

https://math.stackexchange.com/questions/2452553/intuition-for-why-int-01-x-p-for-0-p-1-converges-even-though-lim

Indeed, it gets thin as it approaches the y-axis, but that's not enough. It need to get thin fast enough. To illustrate, let's look at another function in another limit

y = \frac{1}{x ^{2}}

x ⟶ \infty

مشاركة

reddit

نسخ

تم النسخ للحافظة

أمثلة

معادلة تربيعية

x^{2} - 4 x - 5 = 0

حساب المثلثات

4 sin θ cos θ = 2 sin θ

معادلة خطية

y = 3 x + 4

699 * 533

المصفوفة

[2534] [2 - 1 0135]

معادلة آنية

{8 x + 2 y = 46 7 x + 3 y = 47

\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

\int_{0}^{1} x e^{- x^{2}} d x

النهايات

x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}