Question

Question !!!
Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .
from the above also prove that 1+1 =2

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Answer 1

To Show (appropriate question):

$\tt{\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +...+\frac{1}{\infin} = 1}$

Let's Assume :

let, $\tt{\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+...+\frac{1}{\infin}= D}$

Solution :

as, D = 1/2+1/4+1/8+1/16+...+1/∞  ---eq(1)

multiplying both side by 2, we get :

2D = 1+1/2+1/4+1/8+1/16+1/32+...1/∞

⇒ 2D = 1+(1/2+1/4+1/8+1/16+1/32+...1/∞)

substituting the value of D , we get :

⇒ 2D = 1+D

⇒ 2D - D = 1

⇒ D = 1

Hence shown,

1/2+1/4+1/8+1/16+1/32+...+1/∞ = 1  ---eq(2)

____________________________________

To prove :

1+1 = 2 , using the above question

Solution :

as we got ,

D = 1/2+1/4+1/8+1/16+1/32+...+1/∞

⇒2D  = 1+1/2+1/4+1/8+1/16+1/32+1/∞

from eq(1) and eq(2), we get that :

⇒2D = D+D

substituting the value of D from eq(2) , we get :

⇒2(1) = 1+1

⇒2=1+1

hence PROVED .

if any doubt please ask without any hesitate

Answer 2

Answer:

Step-by-step explanation:

Question

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above also prove that 1+1 =2

need good quQuestion

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above alsoQuestion

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above alsoQuestion

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above also Question

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above alsoQuestion

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above alsoQuestion

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above alsoQuestion

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

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Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

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Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

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Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

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Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above alsoQuestion

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above also Question

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above alsoQuestion

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above alsoQuestion

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above also Question

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above alsoQuestion

Question !!!

Show that 1/2 +1/3+1/4+1/8+1/32+...+1/∞ = 1 .

from the above also prove that 1+1 =2

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