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Let f : N R+ and g : N R+ be functions defined by f(n) = n2 + 3n and g(n) = n2 + 5 for

Chapter 6, Problem 10

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QUESTION:

Let f : N R+ and g : N R+ be functions defined by f(n) = n2 + 3n and g(n) = n2 + 5 for all n N. Show that f = _(g).

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QUESTION:

Let f : N R+ and g : N R+ be functions defined by f(n) = n2 + 3n and g(n) = n2 + 5 for all n N. Show that f = _(g).

ANSWER:

Problem 10

Let and  be the functions defined by  and  for all . Show that  .

                                                        Step by Step Solution

Step 1 of 3

It is given that   and

To prove:

 

It can be written that:

 

Here  .

 ...(i)

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