1.

Prove that: 1/9! + 1/10! + 1/11! = 122/11!

Answer»

Given as

1/9! + 1/10! + 1/11! = 122/11!

Now, let us consider LHS: 1/9! + 1/10! + 1/11!

1/9! + 1/10! + 1/11! = 1/9! + 1/(10×9!) + 1/(11×10×9!)

= (110 + 11 + 1)/(11 × 10 × 9!)

= 122/11!

= RHS

Thus proved.



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