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(1 - 1/3) (1 - 1/4)(1 - 1/5)………(1 - 1/n)...

`(1 - 1/3) (1 - 1/4)(1 - 1/5)………(1 - 1/n)` equals:

A

1/n

B

2/n

C

(2 (n - 1))/n

D

2/(n(x + 1 ))

Text Solution

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The correct Answer is:
B
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The value of (1 - 1/2) (1 - 1/3) (1 - 1/4)(1 - 1/5) ………(1 - 1/n) is :

The value of (1-1/2)(1-1/3)(1-1/4)(1-1/5)…(1-1/n) is :

(1 - (1)/(3)) (1 - (1)/(4)) (1 - (1)/(5)) ….. (1 - (1)/(25)) is equal to

When simplified the product (1 - (1)/(3)) (1 - (1)/(4)) (1- (1)/(5)) …. (1 - (1)/(n)) becomes :

Find the value of ( 1 - 1/3 ) ( 1 - 1/4 ) ( 1 - 1/5 ) ---------- ( 1 - 1/n ) is ( a ) 2/n ( b ) 4/n ( c ) 3/n ( d ) 5/n

When simplified the product (1-1/3)(1-1/4)(1-1/5)......(1-1/n) becomes :

(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

lim_(nto oo) (1-1/(2^(2)))(1-1/(3^(2)))(1-1/(4^(2)))…………….(1-1/(n^(2))) equals:

The expression (1+1/3)(1+1/4)(1+1/5)…(1+1/n) simplifies to :

UPKAR PUBLICATION -NUMBERS-QUESTION BANK
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