1.

(1-1/4)(1-1/5)••••••(1-1/m)​

Answer»

1 - 1/4 = 3/4

1 - 1/5 = 4/5

The numerator is always less by one.

1 - 1/(m-1) = (m-2)/(m-1)

1 - 1/m = (m-1)/m

Given: (1 - 1/4)(1 - 1/5) ... (1 - 1/m)​

= 3/4 × 4/5 × ... × (m-2)/(m-1) × (m-1)/m

Now we CLEARLY see the fractions cancelling out.

It shows the answer is 3/m.



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