What it′s ?? 5×55×555×5555×55555.............∞=


Question and Answers Forum

All Questions Topic List
Algebra Questions
Previous in All Question Next in All Question
Previous in Algebra Next in Algebra
Question Number 164425 by Zaynal last updated on 17/Jan/22

$What {it}^{'} s ? ?$ $5 \times 55 \times 555 \times 5555 \times 55555 . . . . . . . . . . . . . \infty =$
	Answered by alephzero last updated on 17/Jan/22
	$Let a_n = 5555...5555_(n-times) Π_(n=1) ^∞ a_n = 5×55×555×...×∞ = ? Let 5×55×555×..._(Without ∞) = t ⇒ t > 0 ⇒ Π_(n=1) ^∞ a_n = t×∞ = ∞ ∀t {t ∈ R ∣ t×∞ = ∞} ⇒ 5×55×555×...×∞ = ∞$
	$Let a_{n} = \underset{n - times}{\underset{⏟}{5555 . . . 5555}}$ $\underset{n = 1}{\prod^{\infty}} a_{n} = 5 \times 55 \times 555 \times . . . \times \infty = ?$ $Let \underset{Without \infty}{\underset{⏟}{5 \times 55 \times 555 \times . . .}} = t \Rightarrow t > 0$ $\Rightarrow \underset{n = 1}{\prod^{\infty}} a_{n} = t \times \infty = \infty$ $\forall t {t \in R ∣ t \times \infty = \infty}$ $\Rightarrow 5 \times 55 \times 555 \times . . . \times \infty = \underset{―}{\infty}$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum