Math, asked by saurabhbhalla4753, 1 year ago

Simplify (1-1/4)(1-1/9)(1-1/16)....(1-1/100)

Answers

Answered by shwetasurve63

3

Answer:

Step-by-step explanation:

S=(1-1/4)(1-1/9)(1-1/16)....(1-1/n^2)

S=(1/2*3/2)(2/3*4/3)(3/4*5/4)....[((n-1)/n)* ((n+1)/n)]

S=1/2 * 101/100 = 0.505

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