ZIPEX ress x MInbox MTCSSX TCSS X TCSSX L Myox edu/course/1441453/les preview=71805424 New Tab G Google M Gmail YouTube Maps News Translate Download A Alternative formats Page > of 3 0 ZOOM 1. (2 points) Prove the theorem below. Use a direct proof to find constants that satisfy the definition of Big Theta or else use the limit test. Make sure your proof is complete. concise, clear and precise Theorem 1. 7784-948-8372-12nn) 2. (2 points) Prove Gauss's sum using induction on n. Make sure to include a base case for = 1 and an inductive hypothesis and an inductive step for > 1. Theorem 2. 3. (3 points) Prove the following extension to Gauss's sum using induction on W. Make sure to include a base case for n=1 and an inductive hypothesis and an inductive step for n> Theorem 3. 3 (only: ") * Core 2 --) 4. (1+2 points) Prove the following theorem using the definition of and on), or else the limit test Theorem 4. Led 2 l be an integer. Then them and nenn) c 02 DS 3. prt so FO home end 73 % 3 5 6 7 8 8 ZIPEX ress x MInbox MTCSSX TCSS X TCSSX L Myox edu/course/1441453/les preview=71805424 New Tab G Google M Gmail YouTube Maps News Translate Download A Alternative formats Page > of 3 0 ZOOM 1. (2 points) Prove the theorem below. Use a direct proof to find constants that satisfy the definition of Big Theta or else use the limit test. Make sure your proof is complete. concise, clear and precise Theorem 1. 7784-948-8372-12nn) 2. (2 points) Prove Gauss's sum using induction on n. Make sure to include a base case for = 1 and an inductive hypothesis and an inductive step for > 1. Theorem 2. 3. (3 points) Prove the following extension to Gauss's sum using induction on W. Make sure to include a base case for n=1 and an inductive hypothesis and an inductive step for n> Theorem 3. 3 (only: ") * Core 2 --) 4. (1+2 points) Prove the following theorem using the definition of and on), or else the limit test Theorem 4. Led 2 l be an integer. Then them and nenn) c 02 DS 3. prt so FO home end 73 % 3 5 6 7 8 8