Evaluate the limit 200 lim 5+2in (nx) ブ+6+Cnx) lim 5*+2 メ→の 100

Use the contraposition to prove:  If n^2 + n + 1 is an even integer, then n is an odd integer

Rationalize the denomi 20 5/10 - 7/5

Use proof by cases to show that if n is an integer then n^2 ≥ n.

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Compute the value of the expression (II",3*+'): (II},3³ ) .

a. Without tables, show that -(p v (-p ^g)) a nd -p ^-q are logically equivalent.

Let a be an integer such that the remainder of dividing a by 17 is 15. What isthe remainder of dividing a^2 + a + 1 by 17? Justify your answer. You are not allowed to use congruences.

Explain how to find

Is {0,5} equivalent to [0,5]? Please explain.