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4-5/(1+1/(3+1/(2+1/4)))...

`4-5/(1+1/(3+1/(2+1/4)))`

A

`(1)/(8)`

B

`(1)/(64)`

C

`(1)/(16)`

D

`(1)/(32)`

Text Solution

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The correct Answer is:
A
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Find the value of 4-(5)/(1+(1)/(3+(1)/(2+(1)/(2+(1)/(4)))))

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[4(1)/(5)-:{1(3)/(4)-(1)/(2)(3(1)/(2)-(1)/(4)-(1)/(6))}]

(1/3. 1/3. 1/3 + 1/4. 1/4. 1/4 - 3. 1/3. 1/4. 1/5 + 1/5. 1/5. 1/5)/(1/3. 1/3 + 1/4. 1/4 + 1/5. 1/5 - (1/3. 1/4 + 1/4. 1/5 + 1/5. 1/3)) is equal to

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