Quandaries
and Queries
Hi
My name is Ambross and I´m a student having trouble demostrating the following inequality:
2.Sqrt(K+1)-2.Sqrt(k)<1/Sqrst(K)<2.Sqrt(K)-2.Sqrt(k-1)
I hope you can understand the inequality
My teacher told me a clue: you have to use The following equality:
Sqrt(K+1)-Sqrt(K) = 1/(Sqrt(K+1)+Sqrt(K))
Any help you could give me would be much appreciated.
Thanks
Hi Ambross,
You know that
Sqrt(K+1)-Sqrt(K) = 1/(Sqrt(K+1)+Sqrt(K)).
How does the right side of this equation compare to
1/(Sqrt(K)+Sqrt(K))?
Which is larger?
Penny